Math 2 Unit 5: Quadratics

Factoring

100

Solve x² + 2x - 3 = 0.

x = 1 and/or x = -3

200

Solve  x² + 3x - 10 = 0

x = -5 and/or x = 2

300

Solve x² + 2x + 25 = 11x + 5

x = 5 and/or x = 4

400

Solve 15x² + 1 = 8x

x = 1/3 and/or x = 1/3

500

Solve 3x² = 5 - 14x

x = 1/3 and/or x = -5

Complex Numbers

100

What is i?

square root of -1

200

Simplify the expression.

(4 + 2i) + (3 + 5i)

7 + 7i

300

Simplify the expression.

(-2 + 9i) + (6 - 3i)

4 + 6i

400

Simplify the expression.

(8 + 2i) - (4 - 3i)

4 + 5i

500

Simplify the expression.

(-3 - 8i) - (4 + 2i)

-7 - 10i

Solving using Square Roots

100

Solve for the roots.

(x-3)^2=25

-2 and 8

200

Solve for the roots.

x^2-49=0

+7 and -7

300

Solve for the roots.

x^2+16=0

+4i and -4i

400

Solve for the roots.

9x^2 + 5 = 41

-2 and 2

500

Solve for the roots.

2x^2-200=0

-10 and 10

♫ Quadratic Formula ♫

100

Solve using the quadratic formula

x^2-5x-14=0

7 and -2

200

Solve using the quadratic formula

2x^2+2x-12=0

2 and -3

300

Solve using the quadratic formula

x^2-4x+4=0

2

400

Solve using the quadratic formula

2x^2+3x-20=0

5/2 and -4

500

Solve using the quadratic formula

2x^ 2 − 7x − 13 = −10

(7+-\sqrt73)/4

Completing The Square

100

Solve the following equations by completing the square

x ^2 + 6x + 8 = 0

-2 and -4

200

Solve the following equations by completing the square

x ^2 + 14x − 15 = 0

1 and -15

300

Solve the following equations by completing the square

n^ 2 − 2n − 3 = 0

3 and -1

400

Solve the following equations by completing the square

k ^2 − 12k + 23 = 0

6+-\sqrt13

 

500

Solve the following equations by completing the square

p^ 2 + 14 p − 38 = 0

-7 +- \sqrt87