1.

if α and β are the roots of the equation 3x2+x-10=0 then find the value of 1 upon α+ 1 upon β is..?

Answer»

If alpha and beta are roots of quadratic equation

Sum of roots (alpha + beta) = - b/aProduct of roots (alpha*beta) = c/a

For 3x^2 + x - 10 = 0

Sum of roots (alpha + beta) = - b/a = - 1/3Product of roots (alpha*beta)= c/a = - 10/3

1/alpha + 1/beta= (alpha + beta) /alpha*beta= (- 1/3)/(-10/3)= 1/3 ans



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