Question

In the following exercises, solve using the Square Root Property.

$t^2+18=0$

Short answer

The resultant equation has no real solution.

Step-by-step solution

Step 1. Given information.

The given quadratic equation is:

$t^2+18=0$

Step 2. Solve using the quadratic equation by using Square Root Property.

$t^2+18=0$

Isolate the quadratic term and make its coefficient one by subtracting 18 from both sides,

role="math" localid="1653417736686" $$\begin{gathered} t^2+18-18=0-18 \\ {t}^2=-18 \end{gathered}$$

Use Square Root Property,

$t=\pm \sqrt{-18}$

The number $\sqrt{-18}$is not a real number.

Therefore there is no real solution.