Question

How do you factor `18x^2=8`?

Answer 1

x= `+-2/3`

Explanation:

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

Answer 2

`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"`