CPM Homework Help : CCA Problem 9-27

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9-27.

Solve the following quadratic equations by factoring and using the Zero Product Property. Then check your solutions.

$x^2-10x+25=0$
Hint (a):
Use a generic rectangle and a diamond problem to help you factor the equation.
left edge top
$-5$

interior top left
$-5x$

interior top right
$25$

left edge bottom
$x$

interior bottom left
$x^2$

interior bottom right
$-5x$

bottom edge left $x$
bottom edge right $-5$

Answer (a):
$x=5$

$0=3x^2+17x-6$
Hint (b):
See part (a).

$3x^2-2x=5$
Hint (c):
Rewrite the equation so that it is equal to $0$ .
Answer (c):
$x=\frac{5}{3},\ x=-1$

$16x^2-9=0$
Hint (d):
You should notice that this is a difference of squares.

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