How do you solve #sqrt(x^2+9x+15)=x+5# and check your solution?

1 Answer
Feb 27, 2017

Answer:

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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!