Solve Quadratics by Taking the Square Root and Factoring

When can you solve an quadratic equation by taking the square root?

• Only when a = 1.

• Only when it is factorable.

• Only when there is no b term.

• Only if the equation equals 0.

Tags

CCSS.HSA-REI.B.4B

What is the first step when solving by taking square roots?

• Move constant to other side of equal sign.

• Take the square root of everything.

Tags

CCSS.HSA-REI.B.4B

You can solve the following by taking the square root.

• True

• False

Answer explanation

Yes you can! There is no b value so you can solve by taking square root. Move 27 to the other side & then take the square root.

Tags

CCSS.HSA-REI.B.4B

• True

• False

Tags

CCSS.HSA-REI.B.4B

Solve by factoring.

a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Tags

CCSS.HSA-REI.B.4B

Solve using square roots.

3x² - 192 = 0

• -32 or 32

• No Solution

• -8 or 8

• -64 or 64

Tags

CCSS.8.EE.A.2

How many solutions does this function have?

• two

• one

• all real numbers

• no real solutions

How many solutions does this function have?

• two

• one

• all real numbers

• no real solutions

How many solutions does this function have?

• two

• one

• all real numbers

• no real solutions

Solve by taking square roots:
4m² - 100 = 0

• m=25, -25

• m=96

• m=5, -5

• m=-96

Tags

CCSS.HSA-REI.B.4B