Question

WILL GIVE BRAINLIEST but you have to show your work

Answer 1

Answer:

x=-3

Step-by-step explanation:

$\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5$

x=-6 is extraneous because 7 does not equal to 5

x=-3 is the answer because 5=5