if alpha and beta are the zeroes of x2-7x+12 then find the value of 1/alpha+1/beta+2alpha beta
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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
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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