SOLUTION: Solve using the quadratic formula: x^2 – 3x = 7x – 2

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Question 147431: Solve using the quadratic formula:
x^2 – 3x = 7x – 2
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Solve using the quadratic formula:
x^2 – 3x = 7x – 2
.
First, move all the terms to the left side:
x^2 – 3x = 7x – 2
subtracting 7x from both sides:
x^2 – 10x = –2
adding 2 to both sides:
x^2 – 10x + 2 = 0
.
Now, we can apply the quadratic equation:
solution: x = (9.796, 0.204)
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=92 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 9.79583152331272, 0.204168476687281. Here's your graph:
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