Solving Quadratic Equations by Different Methods

Solve by using the best method (factoring, completing the square, or taking square roots):

3x² - 36x = 39

• 6 or -6

• 13 or -1

• 1 or -13

• 36 or -39

Tags

CCSS.HSA-REI.B.4B

Solve by Isolation/Square Roots: 2\left(x-3\right)^2+10=4

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Decide on the best method:
x² - 3x - 54 = 0

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

Decide on the best method:
x² + 2x = -9

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

Solve for the values of x:
(x + 2)(x - 3) = 0

• { 2, 3 }

• { -2, -3 }

• { 2, 3 }

• { -2, 3 }

Tags

CCSS.HSA-REI.B.4B

• x = -7, x = 7

• x = -7

• x = 7

• x = -7, x = 1

Tags

CCSS.8.EE.A.2

When solving a quadratic equation, when do you use the plus or minus (±) symbol?

• After taking the square root of both sides

• After adding the square to both sides

• After taking half of b

• After setting the equation equal to zero

Tags

CCSS.HSA-REI.B.4B