Question

X puᴉɟ oʇ ǝʌɐɥ noʎ%20%20%3D%20%20%7B4%7D%5E%7B2%7D%20" id="TexFormula1" title=" \frac{x {}^{2} }{5 {}^{2} } = {4}^{2} " alt=" \frac{x {}^{2} }{5 {}^{2} } = {4}^{2} " align="absmiddle" class="latex-formula">
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Answer 1

Hello there! The value of x is 20 or -20

"20 or - 20" is one answer so you are supposed to answer 20 or -20, not choose only one.

Step-by-step explanation:

$\large{ \frac{ {x}^{2} }{ {5}^{2} } = {4}^{2} }$

First, we simplify 5² and 4²

$\large{ \frac{ {x}^{2} }{25} = 16}$

Multiply the whole equation by 25 to get rid of the denominator.

$\large{ \frac{ {x}^{2} }{25} (25) = 16(25)} \\ \large{ {x}^{2} = 400}$

Square both sides and solve the equation.

$\large{ \sqrt{ {x}^{2} } = \pm{ \sqrt{400} }}$

Also don't forget to write "plus or minus" symbol when we are solving a quadratic equation by squaring both sides.

$\large{x = \pm{20}}$