How do you factor 18x^2=8?

2 Answers
Apr 24, 2018

x= +-2/3

Explanation:

(18x^2)/18=8/18
x^2=8/18=4/9
x=+-sqrt(4/9)
x= +-2/3

Apr 24, 2018

2(3x-2)(3x+2)=0

Explanation:

"rearrange into "color(blue)"standard form"

rArr18x^2-8=0larrcolor(blue)"in standard form"

"take out a "color(blue)"common factor "2

rArr2(9x^2-4)=0

9x^2-4" is a "color(blue)"difference of squares"

•color(white)(x)a^2-b^2=(a-b)(a+b)

9x^2=(3x)^2rArra=3x" and "4=(2)^2rArrb=2

rArr9x^2-4=(3x-2)(3x+2)

rArr2(3x-2)(3x+2)=0larrcolor(red)"in factored form"