Question

if Alfa beta are the zeroes of the polynomial 2x square minus 4x plus 6 then find the value of 1by Alfa plus 1by beta

Answer 1

we know that

sum of roots = -b/a

products of roots = c/a

given 2x²-4x+6

a = 2 ; b = -4 ; c = 6

sum of roots = -b/a = -(-4)/2 = 2

product of roots = c/a = 6/2 = 3

$\frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{ \alpha + \beta }{ \alpha \beta } = \frac{2}{3}$
(alpha + beta ) sum of roots

(alpha. beta) product of roots

Hope you understand

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