W^2+48^2=50^2
W^2 = 50^2-48^2 = 2500-2304 = 196
W = √196 = 14
To solve the equation W^2 + 48^2 = 50^2, we want to find the value of W. To do this, we can follow these steps:
1. Start by simplifying the equation:
W^2 + 2304 = 2500
2. Next, move the constant term (2304) to the other side of the equation by subtracting it:
W^2 = 2500 - 2304
3. Calculate the value on the right side of the equation:
W^2 = 196
4. To find the value of W, take the square root of both sides of the equation:
√(W^2) = √196
Since W^2 is always positive, we can drop the square root notation on the left side:
W = √196
5. Evaluate the square root of 196:
W = ±14
Therefore, the solutions to the equation W^2 + 48^2 = 50^2 are W = 14 and W = -14.