missdumpling2004
missdumpling2004 missdumpling2004
  • 21-12-2020
  • Mathematics
contestada

Give an example of a quadratic function that has two real solutions with a multiplicity of 2.

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 26-12-2020

Answer:

The equation is;

x^2 + 4x + 4 = 0

Step-by-step explanation:

Here, we want to give a quadratic equation with a real solution that has a multiplicity of two

Generally, there are only two solutions to a quadratic equation since it is a polynomial of degree two

Since we have a multiplicity of 2, it means that the real roots are repeated

Let us have a solution of x = -2

With the multiplicity;

we have x + 2

So let us expand this

(x+2)(x+2)

= x^2 + 4x + 4

The equation is;

x^2 + 4x + 4 = 0

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