3 Types of Roots

Determine the types of roots for the quadratic equation

x² - 8x + 16 = 0

• Two real and equal roots

• Two real and different roots

• No real roots

Determine the types of roots for the quadratic equation

2x² + x + 4 = 0

• Two real and equal roots

• Two real and different roots

• No real roots

Determine the types of roots for the quadratic equation

(x - 2)² = 3

• Two real and equal roots

• Two real and different roots

• No real roots

Determine the types of roots for the quadratic equation

x² - 4x = 2x - 9

• Two real and equal roots

• Two real and different roots

• No real roots

Determine the types of roots for the quadratic equation

2x² - 5x + 5 = 0

• Two real and equal roots

• Two real and different roots

• No real roots

Determine the types of roots for the quadratic equation

x² - 2 = -2x - 3

• Two real and equal roots

• Two real and different roots

• No real roots

Determine the types of roots for the quadratic equation

x² + 5x - 3 = 2(2 - x)

• Two real and equal roots

• Two real and different roots

• No real roots

Determine the types of roots for the quadratic equation

-x² + 10x - 25 = 0

• Two real and equal roots

• Two real and different roots

• No real roots

Determine the types of roots for the quadratic equation

2x² - 4x + 5 = 0

• Two real and equal roots

• Two real and different roots

• No real roots

Determine the types of roots for the quadratic equation

x² - 3x + 7 = 0

• Two real and equal roots

• Two real and different roots

• No real roots