Question

how do you solve this??

Answer 1

move one of the sqrt to another side
sqrt(8x+17)=3+2sqrt(2-x)
square both sides
8x+17=9+12sqrt(2-x)+4(2-x)
8x+17=17-4x+12sqrt(2-x)
12x=12sqrt(2-x)
x=sqrt(2-x)
square both sides
x^2=2-x
x^2+x-2=0
(x+2)(x-1)=0
x+2=0 or x-1=0
x=-2 (rej) or 1

Answer 2

(a+b)^2 = a^2 +2ab +b^2

Answer 3

what do i do now????

Answer 4

there is no 4sqrt(2-x)
as
(2sqrt(2-x))^2 = 4(2-x)