8x^2=6(6+10)

Question

Geometry homework. I don't get the problem at all.

Answer 1

First you need to open the parentheses and distribute 6 to the contents:

8x²=36+60=96, now divide both sides by 8: x²=12.  Or you could just add 10 and 6 to make 16 then multiply by 6 to get 96, then divide both sides by 8.

The square root of 12=√4×3=2√3.

And -2√3 is also a solution. 2√3 evaluates to about 3.464.