SOLUTION: Solve by using quadratice formula: 3x^2=11x+4

Question 41356: Solve by using quadratice formula: 3x^2=11x+4
Answer by vidhyak(98) (Show Source): You can put this solution on YOUR website!
3x^2 = 11x + 4
3x^2 - 11x - 4 = 0
3x^2 - 12x + x - 4 = 0
3x(x - 4) + 1(x - 4) = 0
(3x + 1)(x - 4)=0
x = -1/3, 4

Using the 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=169 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4, -0.333333333333333. Here's your graph:

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