SOLUTION: x^2-3x = 4x -1 I can't do the problems that do not have an = 0. I tried to do this by putting the entire equation on the left of the =, and came up with x^2 -7x +1 = 0. But wi

Question 78141: x^2-3x = 4x -1 I can't do the problems that do not have an = 0. I tried to do this by putting the entire equation on the left of the =, and came up with x^2 -7x +1 = 0. But with this equation, I cannot factor it out. Please help.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you cannot factor the equation (which happens a lot) you can use 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=45 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6.85410196624968, 0.145898033750315. Here's your graph:

So our answer is:
or
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