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Answer: Correct! Incorrect. The answer is -negative36.

-negative20+8x+x²=k+(4+x)²negative twenty plus 8 x plus x squared equals k plus the quantity 4 plus x squared

Rearrange terms of the equation:
x²+8x−20=k+(x+4)²x squared plus 8 x minus 20 equals k plus the quantity x plus 4 squared

Complete the square:
(x²+8x+16)−20−16=k+(x+4)²The quantity of x squared plus 8 x plus 16 minus 20 minus 16 equals k plus the quantity x plus 4 squared

Simplify:
(x+4)²−36=k+(x+4)²The quantity x plus 4 squared minus 36 equals k plus the quantity x plus 4 squared

k must be -negative36
(x+4)²−36=k+(x+4)²The quantity x plus 4 squared minus 36 equals k plus the quantity x plus 4 squared. The quantities negative 36 and k are highlighted to show their equality. Incorrect. Try again. Did you try completing the square on the left side of the equation?