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.
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.
