CPM Homework Help : AC Problem 10-114

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10-114.

Use your generalized process of completing the square to rewrite and solve each quadratic equation below.

$x^2+4x=-3$
Hint 1(a):
Create a generic rectangle.
Hint 2(a):
What number needs to be added to both sides to complete the square?
Hint 3(a):
$(x+2)^2=-3+4$
Answer (a):
$(x+2)^2=1$
$x=-3$ or $-1$

$x^2-8x+7=0$
Hint 1(b):
Subtract $7$ from both sides.
Hint 2(b):
Follow the steps in part a.
Answer (b):
$(x-4)^2=9$
$x=1$ or $7$

$x^2-24x+129=0$
Hint (c):
Follow the steps in part (b).

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