Question

X puᴉɟ oʇ ǝʌɐɥ noʎ


`\frac{x {}^(2) }{5 {}^(2) } = {4}^(2)`
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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.

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{ √(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}}`