Solve the inequality.
-For the function $f ( x ) = x ^ { 2 } - 2 x - 35$, solve $f ( x ) \leq 0$.
A) $( - \infty , - 5 ] \cup [ 7 , \infty )$
B) $[ - 5,7 ]$
C) $( - \infty , - 5 ]$
D) $[ 7 , \infty )$

Question

Quizplus · Accepted Answer

To solve the inequality $f(x) \leq 0$, first find the roots of the quadratic equation $x^2 - 2x - 35 = 0$. Factoring the equation gives $(x - 7)(x + 5) = 0$, so the roots are $x = 7$ and $x = -5$. The inequality $f(x) \leq 0$ is satisfied between these roots, so the solution is $[ - 5,7 ]$.

Solve the Inequality f(x)=x2−2x−35f ( x ) = x ^ { 2 } - 2 x - 35f(x)=x2−2x−35

Solve the Inequality $f ( x ) = x ^ { 2 } - 2 x - 35$