PreCalc
posted by Laura .
√(X+10) + √(X6) = 8
Help would be greatly appreciated! Thanks!

x=+√(14

sqrt(x6)+sqrt(x+10) = 8
sqrt(x6) = 8  sqrt(x+10)
Square both sides
x  6 = (8  sqrt(x + 10))^2
Expand out terms on the right hand side
x  6 = x  16sqrt(x + 10) + 74
16sqrt(x + 10) = 80
Divide both sides by 16
sqrt(x + 10) = 5
Square both sides
x + 10 = 25
x = 15