High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Solve for [tex]$w$[/tex].

[tex]\begin{array}{l}
w^2 = 1.69 \\
w = ? \text{ or } w = ?
\end{array}[/tex]

Answer :

To solve the equation [tex]\( w^2 = 1.69 \)[/tex] for [tex]\( w \)[/tex], follow these steps:

1. Understand the Equation:
- You have [tex]\( w^2 = 1.69 \)[/tex]. This means [tex]\( w \)[/tex] is a number that, when squared (multiplied by itself), equals 1.69.

2. Take the Square Root:
- To find [tex]\( w \)[/tex], you need to take the square root of both sides of the equation. The square root of a number can be both positive and negative because multiplying two negative numbers also gives a positive result.

3. Calculate the Square Root:
- The square root of 1.69 is 1.3. This gives us two possible solutions for [tex]\( w \)[/tex]:
- [tex]\( w = 1.3 \)[/tex]
- [tex]\( w = -1.3 \)[/tex]

4. Conclusion:
- Therefore, the solutions to the equation [tex]\( w^2 = 1.69 \)[/tex] are:
- [tex]\( w = 1.3 \)[/tex] or [tex]\( w = -1.3 \)[/tex]

So, [tex]\( w \)[/tex] can be either 1.3 or -1.3.