SOLUTION: Find the value of d such that u2-12u+d

Question 146424: Find the value of d such that

u2-12u+d
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=140 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 11.9160797830996, 0.0839202169003839. Here's your graph:

There are 2 real roots, , and

The online solution always uses x, just substitute u for it.

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