SOLUTION: I can't quite figure this one out. The value for t=6 but I can't see how we get there. Greg t squared-t/2=15

Question 74153This question is from textbook
: I can't quite figure this one out. The value for t=6 but I can't see how we get there. Greg

t squared-t/2=15 This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Rewrite the equation
Get all terms to one side. Now we can solve for t by using the quadratic formula

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=30.25 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6, -5. Here's your graph:

So t=-5 and t=6
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