Find all real values of $x$ such that $f ( x ) = 0$.
$$f ( x ) = 49 x ^ { 2 } - 64$$
A) $\pm \frac { 7 } { 8 }$

B) $\pm \frac { 8 } { 7 }$

C) $\pm \frac { 64 } { 49 }$

D) $- \frac { 64 } { 49 }$

E) $\frac { 8 } { 7 }$

Question

Find all real values of $x$ such that $f ( x ) = 0$.
$$f ( x ) = 49 x ^ { 2 } - 64$$
A) $\pm \frac { 7 } { 8 }$

B) $\pm \frac { 8 } { 7 }$

C) $\pm \frac { 64 } { 49 }$

D) $- \frac { 64 } { 49 }$

E) $\frac { 8 } { 7 }$

Quizplus · Accepted Answer

To find the values of $x$ such that $f(x) = 0$, solve the equation $49x^2 - 64 = 0$. This simplifies to $49x^2 = 64$, so $x^2 = \frac{64}{49}$. Taking the square root gives $x = \pm \frac{8}{7}$.

Find All Real Values Of xxx Such That f(x)=0f ( x ) = 0f(x)=0

Find All Real Values Of $x$ Such That $f ( x ) = 0$