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?

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hazelh441 hazelh441 · Answer 1 · 2019-06-26T00:52:56+02:00

Answer:

Q1. The solution for the quadratic equation on a graph is same as the value of x-intercept(zeros)

Q2. discriminant(b^2-4ac) when y=ax^2 + bx + c

there are 3 situations:

1. discriminant > 0 → 2 real solutions(2 x-intercepts/zeros)

2. discriminant = 0 → 1 real solution(1 x-intercept/zero)

3. discriminant < 0 → 0 real solution(0 x-intercept/zero) → also 2 imaginary solution

Hope it helped!

Step-by-step explanation:

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luisejr77 luisejr77 · Answer 2 · 2019-06-26T01:26:50+02:00

Answer:

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 [tex]y=0[/tex]) are the solutions of the quadratic equation .

2) Given a quadratic equation [tex]ax^2+bx+c=0[/tex], you can know the number of real solutions by using this formula to find the Discriminant :

[tex]D=b^2-4ac[/tex]

If [tex]D=0[/tex], then there is one real solution with multiplicity two.

If [tex]D>0[/tex], 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.