Question

find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (v) t²-15​

Answer 1

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Answer 2

(v) t² – 15

Factorize the equation,

t² – 15 = 0

Add 15 both side we get,

t² = 15

Take square root both side,

t= ± √15

First zero is √15

second zero is -√15

Sum of zero = √15 - √15 = 0

Product of zero = √15 x -√15 = -15

Compare the equation with at² + bt +c = 0

We get,

a = 1, b = 0, c = -15

Sum of zero, -b/a = -(0/1) = 0

Product of zero, c/a = -15/1 = -15

Hence, verified

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