Answer :
To solve the equation [tex]\(t^2 = 169\)[/tex], we need to find the value(s) of [tex]\(t\)[/tex] that satisfy this equation. Here’s how to do it step-by-step:
1. Understand the Equation: The equation [tex]\(t^2 = 169\)[/tex] means that when [tex]\(t\)[/tex] is squared, the result is 169.
2. Square Root Both Sides: To find [tex]\(t\)[/tex], take the square root of both sides of the equation. Remember that taking the square root of a number has two possible results: one positive and one negative.
3. Calculate the Square Root:
- The positive square root of 169 is 13, because [tex]\(13 \times 13 = 169\)[/tex].
- The negative square root of 169 is -13, because [tex]\((-13) \times (-13) = 169\)[/tex].
4. Conclude with Solutions: Therefore, there are two possible solutions for [tex]\(t\)[/tex]:
- [tex]\(t = 13\)[/tex]
- [tex]\(t = -13\)[/tex]
These are the values that satisfy the original equation [tex]\(t^2 = 169\)[/tex].
1. Understand the Equation: The equation [tex]\(t^2 = 169\)[/tex] means that when [tex]\(t\)[/tex] is squared, the result is 169.
2. Square Root Both Sides: To find [tex]\(t\)[/tex], take the square root of both sides of the equation. Remember that taking the square root of a number has two possible results: one positive and one negative.
3. Calculate the Square Root:
- The positive square root of 169 is 13, because [tex]\(13 \times 13 = 169\)[/tex].
- The negative square root of 169 is -13, because [tex]\((-13) \times (-13) = 169\)[/tex].
4. Conclude with Solutions: Therefore, there are two possible solutions for [tex]\(t\)[/tex]:
- [tex]\(t = 13\)[/tex]
- [tex]\(t = -13\)[/tex]
These are the values that satisfy the original equation [tex]\(t^2 = 169\)[/tex].
