How do you solve sqrt(x^2+9x+15)=x+5 and check your solution?
1 Answer
Feb 27, 2017
Explanation:
Square both sides:
(sqrt(x^2 + 9x + 15))^2 = (x + 5)^2
x^2 + 9x + 15 = x^2 + 10x + 25
x^2 - x^2 + 9x - 10x + 15 - 25 = 0
-x - 10 = 0
x = -10
Check:
sqrt((-10)^2 + 9(-10) + 15) =^? -10 + 5
sqrt(25) != -5
There is no solution to this equation.
Hopefully this helps!