Question

find the zeros of the following quadratic equations and verify the relationship between the zeros and coefficients : x² - 4x - 77​

Answer 1

Given :-

• A quadratic equation x² - 4x - 77

To Find :-

• zeroes of the equation

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• x² - 4x - 77

=> x² - 11x + 7x - 77

=> x (x - 11) + 7 (x - 11)

=> (x + 7) (x - 11)

=> x = -7 , 11

• α = - 7

• β = 11

Sum of zeroes :-

=> - 7 + 11

=> 4 => - (coefficient of x)/coefficient of x²

Product of zeroes :-

=> (- 7) × 11

=> - 77 => constant term/coefficient of x²

Hence, verified

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