Find all real values of $t$ that satisfy the equation $t^2 = 196$.

The given equation is $ t^2 = 196 $.

To find the values of $ t $ that satisfy this equation, take the square root of both sides. Remember, when taking the square root of a number, we must consider both the positive and negative roots:

\[
t = \pm \sqrt{196}
\]

Calculate the square root of 196:

\[
\sqrt{196} = 14
\]

So, the solutions are:

\[
t = 14 \quad \text{or} \quad t = -14
\]

Thus, the real values of $ t $ that satisfy the equation are $ t = 14 $ and $ t = -14 $.

Would you like more details or have any questions?

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Here are some related questions you might be interested in:

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5. How do you handle equations with imaginary numbers, like $ t^2 = -16 $?
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**Tip:** Always check your solutions by substituting them back into the original equation to ensure they satisfy the equation.

Discover how to find all real values of t that satisfy the equation t^2 = 196. Learn the step-by-step process involving square roots and quadratic equations. Suitable for Grades 7-9.

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