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Biblioteka

P4.4: Quadratic Formula and the Discriminant

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Watch this video for solving with the quadratic formula.

Watch this video for a review of using the discriminant.

Watch this video for solving with the quadratic formula.

Watch this video for a review of using the discriminant.

Pitanje 1
1.

Match the discriminant with the indicated type of roots.

This won't turn green until you have them ALL right.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

discriminant is 0

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2 real rational roots

discriminant is a positive perfect square

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2 real irrational roots

discriminant is negative

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1 unique root

discriminant is positive, but not a perfect square

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2 nonreal roots

Pitanje 2
2.

Find the discriminant of

x2+12x-8 = 0

Enter your answer as a number, no spaces.

Pitanje 3
3.

Solve

x2+12x-8=0.

Enter your answer as x={#, #}, with only 1 space after the comma, with the smaller number entered first. Simplify all fractions and radicals.

Pitanje 4
4.

Find the discriminant of

13x^{2}-16x=x^{2}-x

Enter your answer as a number, no spaces.

Pitanje 5
5.

Solve

13x^{2}-16x = x^{2}-x.

Enter your answer as x={#, #}, with only 1 space after the comma, with the smaller number entered first. Simplify all fractions and radicals. No decimals.

Pitanje 6
6.

Find the discriminant of

8x^{2}+15x = 7x-4

Enter your answer as a number, no spaces.

Pitanje 7
7.

Solve

8x^{2}+15x = 7x-4

Enter your answer as x={#, #}, with only 1 space after the comma, with the smaller number entered first. Simplify all fractions and radicals.

If your #s are imaginary numbers, enter them in the form a+bi, where a and b are real numbers.

This one will be "ugly".

Pitanje 8
8.

Find the discriminant of

5x^{2}+1 = 4x -7

Enter your answer as a number, no spaces.

Pitanje 9
9.

Solve

5x^{2}+1 = 4x-7

Enter your answer as x={#, #}, with only 1 space after the comma, with the smaller number entered first. Simplify all fractions and radicals.

If your #s are imaginary numbers, enter them in the form a+bi, where a and b are real numbers.

Pitanje 10
10.

Find the discriminant of

-2x^{2}+24 = 8x

Enter your answer as a number, no spaces.

Pitanje 11
11.

Solve

-2x^{2}+24 = 8x

Enter your answer as x={#, #}, with only 1 space after the comma, with the smaller number entered first. Simplify all fractions and radicals.

If your #s are imaginary numbers, enter them in the form a+bi, where a and b are real numbers.

Pitanje 12
12.

The discriminant of a quadratic equation is 122. Which describes the number and type of roots for that equation?

Pitanje 13
13.

The discriminant of a quadratic equation is -36. Which describes the number and type of roots for that equation?

Hint: Check this with #1!

Pitanje 14
14.

REVIEW

Solve by square roots.

2(x+1)^{2}+5 = -3

Enter your answer as x={#, #}, with only 1 space after the comma, with the smaller number entered first. Simplify all fractions and radicals.

If your #s are imaginary numbers, enter them in the form a+bi, where a and b are real numbers.