the square root of (x+15) + (square root of x) =15, what is the value of "x".
+128408
sqrt ( x + 15) + sqrt (x) = 15 subtract sqrt (x) from both sides
sqrt ( x + 15) = 15 - sqrt (x) square both sides
x + 15 = 225 - 30 sqrt (x) + x subtract x from both sides
15 = 225 - 30sqrt(x) rearrange as
30sqrt (x) = 210 divide both sides by 30
sqrt (x) = 7 square both sides again
x = 49
Check
sqrt ( 49 + 15 ) + sqrt (49) = 15 ???
sqrt (64) + sqrt (49) = 15 ??
8 + 7 = 15 OK!!!
