SOLUTION: can you show me the steps of solving the quadratic equation but in the other form that's -(b)+-square root of b squared minus 4ac over 2a because i know how to solve it but i don't

Question 415558: can you show me the steps of solving the quadratic equation but in the other form that's -(b)+-square root of b squared minus 4ac over 2a because i know how to solve it but i don't understand it.
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
eg:

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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 : .

The discriminant -3 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -3 is + or - .

The solution is , or
Here's your graph:

example 2:

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=49 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4, -3. Here's your graph:

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The equation has to be in the form
There are 2 roots. You can have:
(1) 2 real roots
(2) 1 real root
(3) 2 imaginary roots
(4) no roots
All this information can be gotten out of the quadratic formula:

notice the +- before the square root sign
You could express the formula as

and

These are the x-coordinates of the 2 roots of the equation
example:

The factors will look like

and the other root is

Now I can rewrite what I found as:

and

So, the factors of the equation are:

Multiply both sides by

which is the equation, so the roots are -1 and -3/2
Here is the plot:

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