keep the 25/4 because that makes taking the square root easier.
After you take the square root of each part of the fraction you will have 5/2
In the equation when i divide 25 by 4 why do i keep it as 25/4 threw out solving the rest of the problem? why not change it to 4??? I'm really struggling on understanding these...
After you take the square root of each part of the fraction you will have 5/2
To start, let's isolate the g^2 term by dividing both sides of the equation by 4:
(4g^2)/4 = 25/4
Simplifying, we get:
g^2 = 25/4
Now, let's solve for g by finding the square root of both sides of the equation. However, when taking the square root, it's important to consider both the positive and negative square roots.
√(g^2) = √(25/4)
Since squaring a number always results in a positive value, we can drop the square root sign on the left side and just write g:
g = ±√(25/4)
Note that the ± symbol represents both the positive and negative solutions.
Now, let's simplify the square root of 25/4. To do this, the square root can be taken separately for the numerator and denominator:
g = ±(√25)/(√4)
Simplifying further, we have:
g = ±(5/2)
Therefore, the solutions to the equation 4g^2 = 25 are g = 5/2 and g = -5/2.