Solving Quadratic Equation: (a+b+c)^2

Thread starter nirajnishad
Start date Mar 7, 2011
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Quadratic Quadratic equation

AI Thread Summary

To solve for (a+b+c)^2 given the roots of the quadratic equation ax^2 + bx + c = 0 as p/(p+1) and (p-1)/p, one must first understand the implications of these roots. The sum and product of the roots can be used to derive values for a, b, and c based on Vieta's formulas. By substituting these values into the expression (a+b+c)^2, the solution can be calculated. The discussion emphasizes the importance of understanding polynomial roots in solving quadratic equations. Ultimately, the value of (a+b+c)^2 can be determined through careful analysis of the given roots.

Mar 7, 2011

nirajnishad

Homework Statement

if roots of the equation ax^2+bx+c=0 be the form of p/(p+1) and (p-1)/p,the the value of (a+b+c)^2 is?

Homework Equations

The Attempt at a Solution

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Mar 7, 2011

rummgamon

Think about what a "root" of a polynomial means and from there use the roots that you are given to deduce what you need.

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