Can someone PLEASE help me??? Fan&&Medal! :))

Find the non-extraneous solutions of

Question

Can someone PLEASE help me??? Fan&&Medal! :))

Find the non-extraneous solutions of

hanner_b_nanner · Answer

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A) x = −2

B) x = −6

C) x = −6 and x = −2

D) x = 2

hanner_b_nanner · Answer

where the question things are, it's supposed to be negative signs..

princeharryyy · Answer

sqrt(x+6) = x+6 =>
square both sides
x+6 = x^2 + 36 + 12x
x^2 + 11x + 30 = 0

princeharryyy · Answer

further solve the equation to get values of x if it satisfies it isn't the extraneous solution if it doesn't than it is

hanner_b_nanner · Answer

That's what I got, but I'm totally confused on how the answer will be -2, 2, or -6... :(

princeharryyy · Answer

-6 would b ur answer @hanner_B_nanner

princeharryyy · Answer

(x+5)(x+6) = 0 =>
x=-5 or x = -6 @hanner_B_nanner no other solution exists.