3 years ago

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Answer:

-2, (-5 is extraneous)

Step-by-step explanation:

assuming √(x+6) -4 =x

√(x+6) = x+4

square both side

x+6 = (x+4)^2

x+6 = x^2+8x+16

x^2+7x+10=0

(x+2)(x+5) = 0

x = -2, -5

put -5 back into org equation and it is not true

√(-5+6) -4 ≠ -5

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