Quiz 4.2: Complex Numbers & Quadratic Formula

Last updated over 4 years ago

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Quiz 4.2: Complex Numbers & Quadratic Formula

Last updated over 4 years ago

14 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Formulae

The imaginary number: i^{2} = -1

Discriminant: b^{2} - 4ac

Quadratic Formula: x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}

Akwankyerɛ

Formulae

The imaginary number: i^{2} = -1

Discriminant: b^{2} - 4ac

Quadratic Formula: x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}

Match the scenarios with the discriminant situation.

Draggable item		Corresponding Item
2 nonreal solutions		discriminant is a positive perfect square
2 real rational solution		discriminant is positive, but not a perfect square
1 unique solution		discriminant is negative
2 real irrational solutions		discriminant is 0

Simplify the expression. Write your answer as an imaginary number, no spaces.
\sqrt{-64}

Simplify the expression. Write your answer as an imaginary number, no spaces.
2\sqrt{-108}

Simplify the expression. Write your answer as a number, no spaces.

(-5i)(-3i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.

(8+3i)+(-6-12i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.
(5-9i)-(1+4i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.
(9+5i)(4-2i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.
(-1-3i)^{2}

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.

(6+i)(6-i)

Solve by the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.

x^{2}-10x+25=3

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.
x^{2}+18x+97 = 0

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.
2x^{2}+8x+134=0

Determine the number and type of solutions for this equation.
-2x^{2}-196 = 0

2 real rational solutions

2 real irrational solutions

2 nonreal solutions

1 unique solution

Determine the number and type of solutions for this equation.
2x^{2}-9x+8 = 0

2 real rational solutions

2 real irrational solutions

2 nonreal solutions

1 unique solution

Quiz 4.2: Complex Numbers & Quadratic Formula

Quiz 4.2: Complex Numbers & Quadratic Formula

Match the scenarios with the discriminant situation.

Simplify the expression. Write your answer as an imaginary number, no spaces. \sqrt{-64}

Simplify the expression. Write your answer as an imaginary number, no spaces.2\sqrt{-108}

Simplify the expression. Write your answer as a number, no spaces. (-5i)(-3i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces. (8+3i)+(-6-12i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.(5-9i)-(1+4i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.(9+5i)(4-2i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.(-1-3i)^{2}

Simplify the expression. Write your answer as a complex number, a+bi, no spaces. (6+i)(6-i)

Solve by the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first. x^{2}-10x+25=3

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.x^{2}+18x+97 = 0

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.2x^{2}+8x+134=0

Determine the number and type of solutions for this equation.-2x^{2}-196 = 0

Determine the number and type of solutions for this equation.2x^{2}-9x+8 = 0

Match the scenarios with the discriminant situation.

Simplify the expression. Write your answer as an imaginary number, no spaces. \sqrt{-64}

Simplify the expression. Write your answer as an imaginary number, no spaces.2\sqrt{-108}

Simplify the expression. Write your answer as a number, no spaces. (-5i)(-3i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces. (8+3i)+(-6-12i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.(5-9i)-(1+4i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.(9+5i)(4-2i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.(-1-3i)^{2}

Simplify the expression. Write your answer as a complex number, a+bi, no spaces. (6+i)(6-i)

Solve by the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first. x^{2}-10x+25=3

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.x^{2}+18x+97 = 0

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.2x^{2}+8x+134=0

Determine the number and type of solutions for this equation.-2x^{2}-196 = 0

Determine the number and type of solutions for this equation.2x^{2}-9x+8 = 0

Simplify the expression. Write your answer as an imaginary number, no spaces.
\sqrt{-64}

Simplify the expression. Write your answer as an imaginary number, no spaces.
2\sqrt{-108}

Simplify the expression. Write your answer as a number, no spaces.

(-5i)(-3i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.

(8+3i)+(-6-12i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.
(5-9i)-(1+4i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.
(9+5i)(4-2i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.
(-1-3i)^{2}

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.

(6+i)(6-i)

Solve by the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.

x^{2}-10x+25=3

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.
x^{2}+18x+97 = 0

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.
2x^{2}+8x+134=0

Determine the number and type of solutions for this equation.
-2x^{2}-196 = 0

Determine the number and type of solutions for this equation.
2x^{2}-9x+8 = 0

Simplify the expression. Write your answer as an imaginary number, no spaces.
\sqrt{-64}

Simplify the expression. Write your answer as an imaginary number, no spaces.
2\sqrt{-108}

Simplify the expression. Write your answer as a number, no spaces.

(-5i)(-3i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.

(8+3i)+(-6-12i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.
(5-9i)-(1+4i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.
(9+5i)(4-2i)

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.
(-1-3i)^{2}

Simplify the expression. Write your answer as a complex number, a+bi, no spaces.

(6+i)(6-i)

Solve by the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.

x^{2}-10x+25=3

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.
x^{2}+18x+97 = 0

Solve using the quadratic formula. Simplify all irrational and complex solutions. Use x={#, #} format, with exactly one space after the comma. List the smaller solution first.
2x^{2}+8x+134=0

Determine the number and type of solutions for this equation.
-2x^{2}-196 = 0

Determine the number and type of solutions for this equation.
2x^{2}-9x+8 = 0