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

Question

asked Jan 4, 2021 130k views

2 Answers

Pablo Navarro · Answer 1 · 2021-01-08T10:24:27+0000

Answer:

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:

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