Solve: $x ^ { 2 } - 2 x - 15

Name: Solve: $x ^ { 2 } - 2 x - 15 < 0$ A) $( - \infty , - 2 )$ B) $( - 3 , \infty )$ C) $( - 3,5 )$ D) $( - \infty , 5 )$ E) $( 5 , \infty )$
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Question

Solve: $x ^ { 2 } - 2 x - 15 < 0$
A) $( - \infty , - 2 )$
B) $( - 3 , \infty )$
C) $( - 3,5 )$
D) $( - \infty , 5 )$
E) $( 5 , \infty )$

Quizplus · Accepted Answer

To solve the inequality $x^2 - 2x - 15 < 0$, first factor the quadratic expression. The expression can be factored as $(x - 5)(x + 3) < 0$. The roots of the equation $x^2 - 2x - 15 = 0$ are $x = 5$ and $x = -3$. The inequality is satisfied for values of $x$ between the roots, hence the solution is $x \in (-3, 5)$.

Solve x2−2x−15<0x ^ { 2 } - 2 x - 15 < 0x2−2x−15<0

Solve $x ^ { 2 } - 2 x - 15 < 0$