Question

Sum of roots and product of roots quadratic equation

Answer 1

Answer:

Step-by-step explanation:

Quadratic Equation:-

ax² + bx + c = 0

Sum of Roots = -b/a

= α + β = -b/a

Product of Roots = c/a

= αβ = c/a

Hope it Helps!

Answer 2

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QUADRATIC EQUATION :- If p(x) is a quadratic polynomial, then p(x) = 0 is called a quadratic equation.

The general formula of a quadratic equation is ax² + bx + c = 0 where a,b,c are real numbers such that a ≠ 0 and x is a real variable.

SUM OF ROOTS :-

If α and β are the zeroes of the Quadratic Equation ax² + bx + c , then

α + β = -b/a

PRODUCT OF ROOTS :-

αβ = c/a

If α , β And γ are the zeroes of the cubic Polynomial ax³+ bx² + cx + d, then

α + β + γ = -b/a

αβ + βγ + γα = c/a

And αβγ = -d/a