SOLUTION: if a=23, b=x�, c=x, d=14, and 2b-3c+d=a, what is the value of x?

Question 163521: if a=23, b=x�, c=x, d=14, and 2b-3c+d=a, what is the value of x?
Answer by KnightOwlTutor(293) (Show Source): You can put this solution on YOUR website!
2b-3c+d=a replace the variables b,c,d and a with the equivalent values
2x^2-3x+14=23
Subtract 14 from both sides
2x^2-3x=9
Subtract 9 from both sides
2x^2-3x-9=0 This is a quadratic equation

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=81 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, -1.5. Here's your graph:

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