writing equation in quadratic form then solve 36/b-17=-24/b+1
To write the given equation in quadratic form, we need to eliminate the fractions. To do that, we can cross-multiply both sides of the equation.
First, let's cross-multiply:
36(b + 1) = -24(b - 17)
Next, expand both sides of the equation:
36b + 36 = -24b + 408
Now, let's gather all the terms on one side of the equation:
36b + 24b = 408 - 36
Combine like terms:
60b = 372
Divide both sides of the equation by 60 to isolate the variable:
b = 372/60
Simplify the fraction (if possible):
b = 31/5
Therefore, the solution to the equation 36/b - 17 = -24/b + 1 is b = 31/5.