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solve the equation for all values of $x$. $64x^2 - 25 = 0$ answer attem…

Question

solve the equation for all values of $x$.
$64x^2 - 25 = 0$
answer attempt 1 out of 2
additional solution no solution
$x = $
submit answer

Explanation:

Step1: Isolate the $x^2$ term

$64x^2 = 25$

Step2: Solve for $x^2$

$x^2 = \frac{25}{64}$

Step3: Take square root of both sides

$x = \pm\sqrt{\frac{25}{64}}$

Step4: Simplify the square root

$x = \pm\frac{5}{8}$

Answer:

$x = \frac{5}{8}$ and $x = -\frac{5}{8}$