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Reika [66]
3 years ago
13

Find the solutions to the equation by completing the square x^2-6x=7

Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0

The answers are x=7 and x=-1

Look at my photo for the work. I’m not sure if that’s exactly “completing the square”, (sorry I did my best) but the method I did in this works better for me.

What I find helps is when you multiply the coefficient of the first term (in this case 1 in the 1x^2) by the last term (-7). Then, find factors of -7 that add to the middle term (-6). The factors I found were 1 and -7. Then substitute them into the equation so it’s x^2 + 1x-7x -7=0. The value of the equation stays the same, except now you are able to group.

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