Solve Quadratic Equations with square roots and factors

2x²= 30

• x= √5
• x= √30
• x= √15
• x= ±5

Tags

CCSS.8.EE.A.2

x²−10=19

• x = √29
• x = ±2√9
• x = ±29
• x = ±5√19

Tags

CCSS.8.EE.A.2

3x²+12=39

• x = √27
• x = ±3√27
• x = ±3
• x = ±9

Tags

CCSS.8.EE.A.2

Use the square root property to solve the Quadratic Equation.

x² = -49

• ± 7

• -7

• ± 2401

• no real solution

Tags

CCSS.HSA-REI.B.4B

What is the standard form for a Quadratic?

• ax²+ bx = - c
• x = -b ± √(b²-4ac) / 2a
• ax² + bx + c
• y = mx + b

You are given the factored equation  $\left(x+8\right)\left(x-2\right)=0$  . What is the next step to solve for x.

• Set  $x+8=0$  and $x-2=0$  

• Nothing the solution is  $x=8$  and  $x=-2$  

• Multiply  $\left(x+8\right)\left(x-2\right)$  

• Choose  $x+8$  or  $x-2$  and write a musical about them

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:  $x^2-9x+20=0$  What does the factoring step look like?

•  $\left(x-4\right)\left(x+5\right)=0$  

•  $\left(x+20\right)\left(x-9\right)=0$  

•  $\left(x-4\right)\left(x-5\right)=0$  

•  $\left(x+4\right)\left(x+5\right)=0$  

Tags

CCSS.HSA-REI.B.4B

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Find two numbers which add to make 6 and multiply to make -13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

What is the solution for  $4x^2+4x+1=0$  ?

•  $x=\frac{1}{2}or\ x=-\frac{1}{2}$  

•  $x=-\frac{1}{2}and\ x=-\frac{1}{2}$  

•  $x=\frac{1}{2\ }and\ x=\frac{1}{2}$  

•  $x=\frac{1}{4}or\ x=1$  

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation: $4x^2-9=0$  

•  $x=\frac{3}{2}$  &  $x=-\frac{3}{2}$  

•  $x=\frac{2}{3}$  & $x=\frac{-2}{3}$  

•  $x=\frac{9}{4}$  

•  $x=\frac{4}{9}$  

Tags

CCSS.8.EE.A.2