Remote Learning 3/5 - Solving Quadratic Equations

Factor and solve:

x² - 7x - 18 = 0

• x = 9, -2

• x = -9, 2

• x = 6, -3

• x = -6, 3

Factor and solve:

-14x² + 21x = 0

• x = -1.5

• x = 0, 1.5

• x = -3

• x = 0, 3

When solving by factoring, the equation MUST be equal to zero.

• TRUE

• FALSE

What is the first step to solve using the Square Root Property:

6x² = 54

• put a plus/minus symbol

• square root both sides

• divide both sides by 6

• x = -18, 2

• x = 18

• x = 92, 108

• x = -8

Choose the next step to solve by completing the square:

x² - 14x = -33

• add 33 to both sides

• subtract 7 from both sides

• add 49 to both sides

• subtract 49 from both sides

Find the Discriminant:

3x² - 5x + 12 = 4x

• -225

• -119

• -143

• -63

What type of solutions does a quadratic function have if its Discriminant is 121?

• 2 imaginary roots

• 2 real irrational roots

• 2 real rational roots

• 1 real rational root