Question

solve for x in x-(x+11)^1/2=1
the ^1/2 means square root in the question solve for x in x-(x+11)^1/2=1
the ^1/2 means square root in the question @Mathematics

Answer 1

x=5

Answer 2

how is it 5?

Answer 3

x-(x+11)^(1/2)=1
-(x+11)^(1/2)=1-x
(x+11)^(1/2)=x-1
x+11=(x-1)^2
x+11=x^2-2x+1
-x^2+3x+10=0
x^2-3x-10=0
x^2-3x=10
x^2-3x+9/4=49/4
(x-3/2)^2=49/4
|x-3/2|=7/2
x-3/2 = +- 7/2
x=-2 or x=5
plug in and see -2 doesnt work, 5 does thus
x=5
QED