Solve this quadratic equation by completing the square. x^2+10x=7

1 answer:

3 0

Ok, so the quadratic coefient is 1, so great

take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2

x=-5+4√2 and -5-4√2

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Answer: The filled out table is shown below in the attached image

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Explanation:

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