CPM Homework Help : AC Problem 11-92

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Home > AC > Chapter 11 > Lesson 11.2.2 > Problem 11-92

11-92.

Solve each quadratic equation below using any method you choose. Check your solutions.

$\left(5x-1\right)\left(x+3\right)=0$
Hint (a):
Since its already factored, use the Zero Product Property to solve.
Answer (a):
$x=\frac{1}{5}$ or $-3$

$4x^2+10x-6=0$
Hint 1(b):
Factor out a 2 from the equation, then factor the quadratic.
Hint 2(b):
Once factored, see part (a).

$0.5x^2-3x+4.5=0$
Hint 1(c):
Multiply throughout by $2$ to remove the decimals.
Hint 2(c):
Factor and use the Zero Product Property to solve.
$\left(x+3\right)\left(x+3\right)=0$
$x=-3$

$x^{2} + 5x = 14$
Hint 1(d):
Subtract 14 from both sides, then factor.
Hint 2(d):
Once factored, see parts (a) and (c) for more help.
Answer (d):
$x=2$ or $-7$

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