Answer:
274/25 or 10.96
Explanation:
STEP1:Isolate the square root on the left hand side
Original equation
3+5√x+2+3+3 = 27
Isolate
5√x+2 = -3-3-3+27
Tidy up
5√x+2 = 18
STEP2:Eliminate the radical on the left hand side
Raise both sides to the second power
(5√x+2)2 = (18)2
After squaring
25x+50 = 324
STEP3:Solve the linear equation
Rearranged equation
25x -274 = 0
Add 274 to both sides
25x = 274
Divide both sides by 25
A possible solution is :
x = (274/25)
STEP4:Check that the solution is correct
Original equation, root isolated, after tidy up
5√x+2 = 18
Plug in (274/25) for x
5√(274/25)+2 = 18
Simplify
5√12.96 = 18
Solution checks !!
Solution is:
x = (274/25)
One solution was found :
x = (274/25)