Quadratic Equations

The solutions of the quadratic equation

x²-5x+6=0 are

• x=1 or x=-6

• x=3 or x=2

• x=-3 or x= 2

• x=-1 or x=6

In the quadratic formula, if b²-4ac>0, then the quadratic equation has

• two imaginary solutions

• two different real solutions

• two equal real solutions

• none of these

To complete the perfect square trinomial in the expression x²-22x+_____, we need to add

• 11

• 44

• 121

• 144

In the quadratic formula, the expression

b²-4ac is called

• discrim

• determinant

• discriminant

• none of these

The solution of the quadratic equation

4x²-5x-9=0 are

• x=-1 or x=9/4

• x=1 or x=9/4

• x=2 or x=3

• x=-2 or x=-3

Fill the blank space to complete the perfect square trinomial

x²-18x+____=(x- ____)²

• 9 and 3 respectively

• 81 and 9 respectively

• -9 and -3 respectively

• -81 and -9 respectively

Use the discriminant to find the number of solutions for the following equation.

y = x² +10x + 25

• 2 solutions

• 1 solution

• 0 solutions

Use the discriminant to find the number of solutions for the following equation.

y = -3x² +5x - 8

• 2 solutions

• 1 solution

• 0 solutions

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• -4.9 and -0.1

• -6.77 and 1.77

• -8.54 and 8.54

• -0.45 and 3.55

Complete the Square

x² + 6x + 20

• (x + 3x)² + 11

• (x + 3)² + 11

• (x + 6)² + 11

• (x + 3)² + 29