Question

square root x+7-x=1

Answer 1

what exactly is inside the square root?

Answer 2

are we solving for x?

Answer 3

yes

Answer 4

just square everything to get rid of the square root, making it:

isolate the sqrt
sqrt(x + 7) = x +1

get rid of the sqrt by squaring evertying

x+7 = (x+1)^2

expand

x+7 = x^2 + 2x +1

move it all to one side

0 = x^2 +x - 6

factor the left hand side

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

so x = 2 and -3

now test your values for x

if you plug -3 into sqrt(x + 7) -x = 1

you get sqrt(4) + 3 = 1

5 =! 1 (5 does not equal 1)

so x does not actually = -3


x only = 2


x=2

Answer 5

thank you