Where do i find the “solution” do a quadratic equation on a graph? how many possible real solutions are there when you solve a quadratic equation?

1) You find the solution by identifying the x-intercepts.

2) Possible real solutions:

- One real solution.

- Two distinct real solutions.

Step-by-step explanation:

1) The graph of a quadratic equation is a parabola.

By definition, the x-intercepts (Where ) are the solutions of the quadratic equation .

2) Given a quadratic equation , you can know the number of real solutions by using this formula to find the Discriminant :

If  , then there is one real solution with multiplicity two.

If  , then there are two distinct real solutions.

On a graph:

-If the graph has two x-intercepts, then the quadratic equation has two real solutions.

 -If the graph has one x-intercept , then the quadratic equation has one real solution.

2x^2+5x+17

your welcome. : )

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!