QUESTION(Quadratic Equations)
Solve the equation
(x+7)^2=64
SOLUTION: ===============
Starting with (x+7)^2=64
Take square roots of both sides to give
x+7 = \pm \sqrt{64}
x+7 = \pm 8
x= -7 \pm 8
x = -7-8 or -7 + 8
x = -15, 1
[ CHECK:
when x=-15,
LHS = (x+7)^2 = (-15 + 7)^2 = (-8)^2 = 64 = RHS.
when x = 1,
LHS = (x+7)^2 = (1 + 7)^2 = (8)^2 = 64 = RHS. ]
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