# In an equation #ax^2+bx+c#, where #(m,n)# are the x-intercepts, what is #(m,n)# in terms of #b#?

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A detailed explanation of how you get there would be very much appreciated!

A detailed explanation of how you get there would be very much appreciated!

##### 1 Answer

#### Explanation:

Suppose we have a quadratic function

If

Let's expand the parentheses to get:

This is now in the form of a quadratic equation.

Let's compare this to

If

Comparing coefficients with our quadratic equation, we can deduce that:

We need to express

This comes from Vieta's theorem of quadratic polynomials.

It states that the sum of the roots