The roots of x^2 + 2x + c = 0x2+2x+c=0 differ by 4i4i. What are the roots, and what is the value of cc?
1 Answer
Explanation:
This is an interesting question.
Let us think this out.
Let the two roots be
The sum of the roots is :
The product of the roots is
Given the roots the quadratic equation can be formed using the following.
Let us compare our given quadratic equation with this.
The sum of the roots
Product of the roots
We know the sum of the roots when roots are
Our question also informs us the difference of the roots is
Given
The roots are
The product of the roots