Quadratic Equation

The solutions of the quadratic equation 
x²+x+3=0 are

• x = 1 or x = 3

• x = -1 or x = -3

• x = -3 or x = 1

• No solutions

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
y² + 10y = -9

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Tags

CCSS.HSA-REI.B.4B

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = (x + a)(x + b) + c

Solve
3x² - 192 = 0

• x = -16, 16

• x has no real solutions

• x = -8, 8

• x = -64, 64

Tags

CCSS.8.EE.A.2

Find the number of real solutions.
x² + 5x + 7 = 0

• 0

• 1

• 2

Tags

CCSS.HSA-REI.B.4B

Find the number of real solutions.
x² – 1 = 0

• 0

• 1

• 2

Tags

CCSS.HSA-REI.B.4B

Convert the equation into vertex form.
y = x² + 4x

• y = (x+4)² - 4

• y = (x-2)² + 4

• y = (x+2)² - 4

• y = (x+2)²

The discriminant is used to find the roots of a quadratic equation.

• True

• False

Tags

CCSS.HSA-REI.B.4B

True or False
If the discriminant is greater than 0, there are 2 real solutions.

• True

• False

Tags

CCSS.HSA-REI.B.4B