Solving Quadratic Equations

If the vertex of a parabola is on the x-axis, how many real roots does the equation have?

• 1

• 2

• 3

• none

If the discriminant is equal to -7 the roots will be...

• Real & equal

• Real, irrational & different

• Real, rational & different

• Non-real & different

If the discriminant is equal to 0 the roots will be...

• Real & equal

• Real, irrational & different

• Real, rational & different

• Non-real & different

If the discriminant is equal to 49 the roots will be...

• Real & equal

• Real, irrational & different

• Real, rational & different

• Non-real & different

• Real & equal

• Real, irrational & different

• Real, rational & different

• Non-real & different

• Real & equal

• Real, irrational & different

• Real, rational & different

• Non-real & different

What is the SUM of the roots of quadratic equation x² + 13x + 42 = 0?

• -42

• 13

• -13

• 42

What is the PRODUCT of the roots of x² – 15x + 26 = 0?

• 26

• 15

• -15

• -26

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

• x² + 3x - 2 = 0

• x² + 3x + 1 = 0

• x² - 3x - 2 = 0

• x² - 3x + 1 = 0