Find all real values of x such that f (x) = 0. $f ( x ) = 4 x ^ { 2 } - 25$
A) $\pm \frac { 2 } { 5 }$
B) $\pm \frac { 5 } { 2 }$
C) $\pm \frac { 25 } { 4 }$
D) $- \frac { 25 } { 4 }$
E) $\frac { 5 } { 2 }$

Question

Quizplus · Accepted Answer

To find the real values of $x$ for which $f(x) = 0$, we solve the equation $4x^2 - 25 = 0$. Factoring the left side, we get $(2x - 5)(2x + 5) = 0$, which gives us $x = \frac{5}{2}$ and $x = -\frac{5}{2}$. Therefore, the correct answer is $\pm \frac{5}{2}$.

Find All Real Values of X Such That F (X) f(x)=4x2−25f ( x ) = 4 x ^ { 2 } - 25f(x)=4x2−25

Find All Real Values of X Such That F (X) $f ( x ) = 4 x ^ { 2 } - 25$