Question

solve for x: √(x+12)=x

Answer 1

@jim_thompson5910 please help, how do I solve?

Answer 2

@Luis_Rivera

Answer 3

I got 4 for my answer, is that correct?

Answer 4

@e.cociuba

Answer 5

did you square both sides of the equation ?

Answer 6

you would get
x+12= x^2

you can re-arrange that to look like

x^2 -x -12 =0

now factor to get 2 possible solutions.

Answer 7

yea, and somehow I got 4, would that be correct?

Answer 8

to factor, look at the last number , the -12

list all pairs of factors of 12
1,12
2,6
3,4
the - in front of the 12 means the factors will have different signs
the middle number -x or -1*x means the factors add up to -1
of the 3 pair: +3-4 (the last pair) work

you get
(x+3)(x-4)=0
this means
x= -3 or x= 4

Answer 9

so if you were to look at my answer choices above 4 is right, correct?

Answer 10

but in these equations, people only take the positive square root
in other words

sqrt(-3+12)= -3 is not accepted.

that leaves x=4
sqrt(4+12) is sqrt(16) , and sqrt(16) is 4
4=4
so x=4 is the answer