Question 262818
We are given the following
(i) {{{x+3x^(1/2)-15=5x^(1/2)}}}
step 1 - move the x^(1/2) terms to the right side as
(ii) {{{x-15 = 2x^(1/2)}}}
step 2 - square both sides to get
(iii) {{{x^2 - 30x + 225 = 4x}}}
step 3 - subtract 4x to get
(iv) {{{x^2 - 34x + 225 = 0}}}
step 4 - factor to get
(v) {{{(x-9)(x-25)=0}}}
step 5 - solve for x to get
x= 9
or
x = 25
If we check x = 9, we find it doesn't work, so our only answer is x = 25.