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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