Question

Find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.

Answer 1

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Answer 2

the real values that satisfy the equation are:

`t=18,\:t=-18`

Explanation:

Given the equation

$t² = 324$

Let us solve the equation

`t^2=324`

`\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=√(f\left(a\right)),\:\:-√(f\left(a\right))`

`t=√(324),\:t=-√(324)`

as

`√(324)=18`
`-√(324)=-18`

so

`t=18,\:t=-18`

Thus, the real values that satisfy the equation are:

`t=18,\:t=-18`