Hi,
7b^2-14b-97=-8
7b^2-14b-89=0
Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons:
For these solutions to exist, the discriminantshould not be a negative number.
First, we need to compute the discriminant: .
Discriminant d=2688 is greater than zero. That means that there are two solutions:.
Quadratic expressioncan be factored:
Again, the answer is: 4.70328039909021, -2.70328039909021. Here's your graph: