Question

If & and ß are the zeroes of the polynomial ax? + bx + C, then find the difference between the zeroes

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Answer 1

Step-by-step explanation:

If α and β are the zeroes of the quadratic polynomial, then

aα

2

+bα+c=0 and

aβ

2

+bβ+c=0

or, aα

2

+bα − aβ

2

−bβ=0

Then, α+β=

a

−b

and αβ=

ab

c