Quadratic Equations

Extracting the Square Root

1

(r + 3)² = 64

{5, -11}

2

x² + 45 = 45

{0}

3

2y² + 52 = 0

{i√26, -i√26}

Factoring

1

4n² + 14n - 8 = 0

{½, -4}

2

8d² - 18d + 4 = 0

{¼, 2}

3

9g² - 81 = 0

{-3, 3)

Completing the Square

1

2x² + 8x - 24 = 0

{2, -6}

2

w² - 10w + 42 = 0

{5 + i√17, 5 - i√17}

3

u² - 6u - 32 = 0

{3 + √41, 3 - √41}

Quadratic Formula

1

-7a² - 5a + 12 = 0

{- 12/7, 1}

2

3z² + 10z = 8

{⅔, -4}

3

8m² - 7m + 4 = 0

{7 + i√79 / 16, 7 - i√79 / 16}