The solution to the given equation is 5 and -6.
What is solution of equation?
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
[tex]\sqrt{x^{2} +2x-25} = \sqrt{x+5}\\ \\ x^{2} +2x-25 = x+5\\\\ x^{2} +x-30 = 0\\\\ x^{2} +6x -5x -30 = 0\\\\x(x+6) - 5(x+6) = 0\\\\(x-5)(x+6) = 0\\\\x = 5, -6[/tex]
Learn more about solution of equation here
https://brainly.com/question/545403
#SPJ2
