Solving Quadratic Equations

In a quadratic equation, what do you call the value b² −4ac?

• The Denominator

• The Diameter

• The discriminant

• The divisor

What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?

• The roots are not real.

• The roots are real, rational and not equal.

• The roots are irrational and not equal

• The roots are real, rational and equal.

Determine the nature of the roots of x²+7x+10=0?

• real, rational, and equal

• real, rational, and not equal

• real, irrational numbers and are not equal

• Imaginary

What are the nature of roots of the equation x² + 6x = -7?

• Real, rational and equal

• Real, irrational and unequal

• Real, rational and unequal

• Imaginary

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

What are the solutions for this quadratic equation?

• -4 and 0

• 4 and 0

• -2 and 4

• -2 and -4

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4

Write the quadratic equations whose roots have the given sum and product, sum = - 8, product = 5.

• x²+8x+5=0

• x²−8x+5=0

• x²−8x−5=0

• x²+5x−8=0

Write the quadratic equation whose roots are 2 and 3.

• x²+8x + 6 = 0

• x²− 5x + 6 = 0

• x² − 6x − 5 = 0

• x²+5x−8=0