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yan [13]
3 years ago
8

Find the roots of the quadratic equation x^2-8x=9 by completing the square. Show your work.

Mathematics
1 answer:
qaws [65]3 years ago
3 0
x^{2} -8x=9 \\  x^{2} -8x+(-4)^{2} = 9 + (-4)^{2}  \\  x^{2} -8x+16 = 9 + 16 \\  (x-4)^{2} =25 \\ x-4= \sqrt{25}  \\ x-4= \pm 5 \\ x= \pm 5+4
x = 5 + 4 or -5 + 4
x = 9 or -1
 
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