Math, asked by chauhanayan9029, 1 month ago

If a and b are zeroes of x^2-7x+12

Answers

Answered by Dakshayani46
3

Answer:

HEY FRIEND!! GOOD MORNING!! HERE IS YOUR ANSWER

Step-by-step explanation:

α and β are zeroes of polynomial x² - 7 x + 12

αβ = 12 the product of the roots is the constant term

α + β = 7 the sum of the roots is the coefficient of x term , negated.

1/α + 1/β + 2 αβ

= (α + β) / αβ + 2 αβ

= 12 / 7 + 2 * 12 = 24 + 12/7 = 180/7

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