Solving quadratic equations

Solve for p: p² - 16 = 65

• ± 7

• ± 9

• ± 4

• No real solution(s)

Solve for x: 2x² = –144

• -72

• ± 12

• ± 6

• No real solution(s)

Solve for t: t² – 5 = – 4

• ± 1

• ± 3

• ± 9

• No real solution(s)

Solve for c: 2c² + 4c – 16 = 0

• c = -4, 2

• c = 4, 2

• c = -4, -2

• c = 4, -2

x = – b / 2a is the formula for:

• The quadratic equation

• The discriminant

• The axis of symmetry

• The location of all the x-intercepts of a parabola

If the discriminant is negative, there are how many real solutions?

• No real solutions

• One real solution

• Two real solutions

• The discriminant cannot be negative

If the discriminant is positive, there are how many real solutions?

• No real solutions

• One real solution

• Two real solutions

• Any number of positive real solutions

If the discriminant is zero, there are how many real solutions?

• No real solutions

• One real solution

• Two real solutions

• Cannot determine the number of solutions using the discriminant

If the factors of a quadratic equation are (x - 2)(x + 9), what are the zeros of the equation?

• 2 and -9

• -2 and 9

• 0

• ± 2 and ± 9

A quadratic equation that has a negative discriminant represents a parabola with how many x-intercepts?

• None because the parabola does not cross the x-axis

• One (the x-intercept is a negative number)

• One (the x-intercept can be any number)

• Two