# How do you write the quadratic equation whose roots are n and -3n?

##### 1 Answer

Jan 11, 2017

#### Answer:

#### Explanation:

Let:

#f(x) = (x-n)(x+3n) = x^2+2nx-3n^2#

Then

That is, if and only if

So a suitable quadratic equation would be:

#x^2+2nx-3n^2 = 0#

Any quadratic equation in