Math, asked by yaswanth2302, 24 days ago

find a quadrfind a quadratic formula the sum and the product of whose zeroes is -1/7, 1/7atic formula the sum and the product of whose zeroes is -1/7, 1/7

Answers

Answered by Daksh5744
0

Given: Sum of zeroes = α + β = -1/7

Product of zeroes = αβ = -1/7

Then, the quadratic polynomial = x² – (sum of zeroes)x + product of zeroes

= x² – (-1/7)x + 1/7

= x² + 1/7x + 1/7

MULTIPLYING THE WHOLE EQUATION BY 7

= 7x² + x + 1

HENCE , THE REQUIRED QUADRATIC POLYNOMIAL IS 7x² + x + 1

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