Answer:

Explanation:
Given

Required
Condition that the roots is in m : n
Let the roots of the equation be represented as: mA and nA
A quadratic equation has the form:

or

We have the roots to be mA and nA.
So, the sum is represented as:


And the product is represented as:


By comparing:

with



So, we have:


Make A the subject:


Substitute



Multiply both sides by a


Cross Multiply:

Hence, the condition that the ratio is in m:n is
