Question

solve for t.
81t² - 1 = 0
write each solution as an integer, proper fraction, or improper fraction in simplest form.
if there are multiple solutions, separate them with commas.
t =

Explanation:

Step1: Isolate the variable - term

Add 1 to both sides of the equation $81t^{2}-1 = 0$.
$81t^{2}=1$

Step2: Solve for $t^{2}$

Divide both sides by 81.
$t^{2}=\frac{1}{81}$

Step3: Find the square - roots

Take the square - root of both sides. Remember that if $x^{2}=a$ ($a\geq0$), then $x=\pm\sqrt{a}$.
$t=\pm\sqrt{\frac{1}{81}}$
Since $\sqrt{\frac{1}{81}}=\frac{1}{9}$, we have $t = \frac{1}{9},-\frac{1}{9}$

Answer:

$t=\frac{1}{9},-\frac{1}{9}$