Question

the square root of "3x+7=x-1
step by step please

Answer 1

\[\sqrt{3x+7}=x-1\]

Answer 2

yay your back lol

Answer 3

Okay, same as last time but actually a bit easier. Square both sides as the first step.

Answer 4

yes done that. my answers are incorrect though x=3,-2 dont work.

Answer 5

Okay, so after you square both sides you got \(3x+7=(x-1)^2\), right? Then expand the right side to \(3x+7=x^2-2x+1\)? With me so far?

Answer 6

yes got that.

Answer 7

So \(0=x^2-5x-6\), which is \(0=(x-6)(x+1)\)

Answer 8

oh lol i did 0=(x-3)(x+2)

Answer 9

Thanks!!

Answer 10

Yeah, that would have been \(0=x^2-x-6\). When in doubt, multiply it back out.

Answer 11

lol i always make small mistake that i cant figure out why the problem turns out wrong last problem i just added the 1 instead of subtracting it and couldnt figure that out until you told me lol thanks so much for your help!! im going to become your fan =p

Answer 12

Haha any time