# Math

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How do you solve for r, please show steps

(r-2)^2 + (8 - r)^2 = (r + 2)^2

• Math -

expand, simplify, then write it in standard form

r^2 - 4r + 4 + 64 - 16r + r^2 = r^2 + 4r + 4
r^2 -24r +64 = 0
solving by completing the square, easiest way in this case.

r^2 - 24r + 144 = 144 - 64
(r-12)^2 = 80
r-12 = ±√80

r = 12 ± 4√5

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