What equation results from completing the square and then factoring? x^2-8x=39
2 answers:
Answer: (x-4)²=55
Step-by-step explanation:
This is apex answer
We have that
x²<span>-8x=39
</span>
<span>Group terms that contain the same variable</span>
(x²-8x)=39
Complete
the square. Remember to balance the equation by adding the same constants
to each side
(x²-8x+16)=39+16
Rewrite as perfect squares
(x-4)²=55-------> (x-4)²-55=0
(+/-)]x-4]=√55
(+)]x-4]=√55--------> x=4+√55
(-)]x-4]=√55-------> x=4-√55
the answer is
(x-4)²-55=0
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