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8x+x(x-6) or (x-8)^2=36 ?

a) take square root of both sides: x-8=pm 6
pm means plus or minus then add 8 on both sides

She said \(\pm 6\) which is not cancelling one of the roots.

\[(x-8)^2 = 36\]\[\implies x-8 = \pm6\]\[\implies x = 8\pm 6\]\[\implies x \in \{2,14\}\]