Question

Solve by completeing the square:
8x^2 - 80x = 32.
Can you help me work this out? I have the answer, just not sure how to solve it with all the steps.

Answer 1

8x^2 - 80x = 32
Divide both sides by
x^2 - 10x = 4
x^2 - 10x + 25 - 25 = 4
(x-5)^2 -25 + 25 = 4+25
(x-5)^2 = 29
\(x-5 = \pm \sqrt{29}\)
\(x = 5\pm \sqrt{29}\)

Answer 2

x^2-10x=4
To complete the square we
(b/2)^2 and in this case b =10
need to add 25
that is 10/2=5^2
x^2-10x+25=4+25
(x-5)^2=29
\[x-5= \pm \sqrt{29}\]
\[x=5 \pm \sqrt{29}\]

Answer 3

I GOT ALSO THE SAME ANSWER..