CPM Homework Help : AC Problem 11-92

Solve each quadratic equation below using any method you choose. Check your solutions. Homework Help ✎
1. (5x − 1)(x + 3) = 0
2. 4x² + 10x − 6 = 0
3. 0.5x² − 3x + 4.5 = 0
4. x² + 5x = 14

Hint (a):

Since its already factored, use the Zero Product Property to solve.

Answer (a):

$x=\frac{1}{5}\text{ or }-3$

Hint (b):

Factor out a 2 from the equation, then factor the quadratic.

Hint (b):

Once factored, see part (a).

Hint (c):

Multiply throughout by 2 to remove the decimals.

Hint (c):

Factor and use the Zero Product Property to solve.
(x + 3)(x + 3) = 0
x = −3

Hint (d):

Subtract 14 from both sides, then factor.

Hint (d):

Once factored, see parts (a) and (c) for more help.

Answer (d):

x = 2 or −7