One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

Step-by-step explanation:

Given

Let the roots be and

So:

Required

Determine the relationship between d, c and p

Divide through by d

A quadratic equation has the form:

So:

So, we have:

-- (1)

and

-- (2)

Make the subject in (1)

Substitute in (2)

Multiply both sides by d

Cross Multiply

or

Hence, the relationship between d, c and p is:

step-by-step explanation: