SOLUTION: How do you do a quadratic equation not ending in zero? The problem on my worksheet is 3xsquared + 3x = 4 ? I dont know what to do.

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Question 293599: How do you do a quadratic equation not ending in zero? The problem on my worksheet is 3xsquared + 3x = 4 ? I dont know what to do.
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Start with the given equation.

Subtract 4 from both sides.

Now you just need to solve . Does that help?

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
3x^2+3x=4
One approach is to make it equal to zero.
3x^2+3x-4=0
Another is complete the square
add 4
divide by 3
x^2+x=4/3
add (1/2)^2=1/4
x^2+x+1/4=4/3+1/4
(x+1/2)^2=16/12+3/12
(x+1/2)^2=19/12
I leave the rest for you
We could also 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=57 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.758305739211792, -1.75830573921179. Here's your graph: