Math, asked by Praharsha14, 10 months ago

How to find relationship between zeroes and coefficients of Quadratic Polynomial​

Answers

Answered by Parthking111
0

Answer:

RELATION BETWEEN ROOTS AND COEFFICIENTS OF QUADRATIC EQUATION - FORMULA

ax

2

+bx+c=0, where a and b are Coefficients of x

2

and x respectively.

Let Roots be α and β

Relation between Roots and Coefficient is

α+β=

a

−b

α.β=

a

c

CONDITION FOR BOTH ROOTS TO BE ZERO - DEFINITION

Let α and β be the roots of a quadratic equation

then the equation is given by

x

2

−(α+β)x+α⋅β=0

If α=β=0

The equation become x

2

=0

Comparing with ax

2

+bx+c=0

we get a=1,b=0 and c=0

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