How to find sum of roots

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How do you find the sum of the roots of: x^2-5x+12=0?

Solution : x 2 - (sum of roots) x + product of roots = 0. Sum of zeroes = 5/3. Product of zeroes = 4. x 2 - (5/3) x + 4 = 0. (3x 2 - 5x + 4)/3 = 0. 3x 2 - 5x + 4 = 0. Hence the required quadratic equation

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Solving problem

Polynomials: Sums and Products of Roots

1 Answer. Sorted by: 1. If α, β are the roots of the polynomial. (1) p ( x) = x 2 − s x + p = ( x − α) ( x − β) we have s = α + β, p = α β (Viète's formulas). It follows that: (2) ( α − β) 2 = (

What is the formula for the sum and product of roots in

Write the sum and the product of the roots of \(5{x^2} + 6x - 1 = 0\). Solution: We have: \[S = -

Nature of Roots

Finding the sum and product of the roots of a cubic equations: An equation in which at least one term is raised to the power of 3 but no term is raised to any higher power is called a cubic

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