Solve the equation. $( t - 8 ) ( t + 2 ) = - 24$
A) {8, 0}
B) {7, 2}
C) {4, 2}
D) none of these

Name: Solve the equation. $( t - 8 ) ( t + 2 ) = - 24$ A) {8, 0} B) {7, 2} C) {4, 2} D) none of these
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Question

Quizplus · Accepted Answer

Expanding the left side of the equation, we get:
$$t^2 - 6t - 16 = -24$$
Adding 24 to both sides:
$$t^2 - 6t + 8 = 0$$
Factoring:
$$(t - 4)(t - 2) = 0$$
Therefore, the solutions are $t=4$ and $t=2$, so the answer is choice C.

Solve the Equation (t−8)(t+2)=−24( t - 8 ) ( t + 2 ) = - 24(t−8)(t+2)=−24

Solve the Equation $( t - 8 ) ( t + 2 ) = - 24$