If alpha and beta are zeroes of quadratic equation f(x)= ax^2+bc+c then evaluate,
(1/alpha) - (1/beta)
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❔F(x)= ax²+bx+c
❓(1/alpha)-(1/beta)=❔
➡️(1/alpha)-(1/beta)
➡️ CROSS MULTIPLYING:-
➡️Beta-Alpha/alpha× beta
➡️-(alpha+beta)/alpha×beta
➡️-(-b/a)/(c/a). [since alpha+beta=- b/a and alpha beta= c/a]
➡️b/c..
❓(1/alpha)-(1/beta)=❔
➡️(1/alpha)-(1/beta)
➡️ CROSS MULTIPLYING:-
➡️Beta-Alpha/alpha× beta
➡️-(alpha+beta)/alpha×beta
➡️-(-b/a)/(c/a). [since alpha+beta=- b/a and alpha beta= c/a]
➡️b/c..
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