<PRE><B>Question 985517</B>
square root(-4w + 44) = w - 3
square both sides of the =
-4w + 44 = w^2 -6w + 9
add 4w to both sides of =
44 = w^2 -2w + 9
subtract 44 from both sides of =
w^2 -2w -35 = 0
factor the polynomial
(w - 7) * (w + 5) = 0
two solutions, w = 7 or w -5
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check the answers
w = 7
square root( (-4*7) + 44) = 7 -3
square root( 16 ) = 4
4 = 4
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w = -5
square root( (-4*-5) + 44 ) = -5-3
square root( 64 ) = -8
-8 = -8
note square root is + or -
our answers check

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