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

Answer:

the real values that satisfy the equation are:

$t=18,\:t=-18$

Step-by-step explanation:

Given the equation

$t² = 324$

Let us solve the equation

$t^2=324$

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

$t=\sqrt{324},\:t=-\sqrt{324}$

as

$\sqrt{324}=18$$-\sqrt{324}=-18$

so

$t=18,\:t=-18$

Thus, the real values that satisfy the equation are:

$t=18,\:t=-18$