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Laabri

Master Copy Unit 4 Solving Real and Complex Quadratic Equations (2/10/2026)

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Last updated 5 months ago
10 Nsɛmmisa

Simplifying Negative Square Roots

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Finding the discriminant

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1.

Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution

2nd Solution

Adding and Subtracting Complex Numbers

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2.

Simplify this expression.

Final answers must be in a + bi form.

Multiplying Complex Numbers

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3.

Simplify this expression.

Final answers must be in a + bi form.

Quadratic Equations with Complex Solutions

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4.

Solve using the square roots method.

Solution 1

Solution 2

Write the answer in simplest radical form. (no decimals)

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5a.

Put this quadratic equation in Standard Form:

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5b.

Now that you converted the quadratic equation into standard form, what are the coefficients?

Find

a=

b=

c=

What is the discriminant?

b² - 4ac=

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Using the Quadratic Formula to Solve Quadratic Equations with Complex Solutions

Quadratic Formula

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6.

Solve this quadratic equation. You may use any method covered in this unit.

1) Convert this quadratic equation to standard form:

2) Use the cofficients to find:

a=

b=

c=

3Find the solution(s)

(If the equation only has one answer, then enter it in both boxes.)

Solution 1:

Solution 2:

Word Problems

Involving Quadratic Equations

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7.

Given the diagram below, if the area of the shaded region is 290 ft² , what are the dimensions of the inside rectangle?

Write an expression that represents the area of the unshaded area.

Write an expression that represents the area of the larger rectangle.

Write an equation for the area of the shaded region.

What is the value of x?

If the width of the inside rectangle is

(x-2) and the length of te hinside rectangle is 2x

What is the width: ft

What is the length: ft

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5c.

Because the value of the discriminant was