Question

if α&β are the roots of the equation 3x2+5x-2=0. find the value of 1/α+1/β

Answer 1

Answer :-

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Given eqation ,

3x² + 5x - 2 = 0

And the roots of the equation are α and β

To find ,

The value of : 1 / α + 1 / β

Now ,

3x² + 5x - 2 = 0 → Compared with ax² + bx + c = 0 , then we get ,

a = 3

b = 5

c = - 2

Now ,

• Sum of the zeros ( α + β )

= - b / a

= - 5 / 3

• Product of the zeros ( αβ )

= c / a

= - 2 / 3

Now ,

1 / α + 1 / β

= ( α + β ) / αβ

= ( - 5 / 3 ) / ( - 2 / 3 )

[ • Putting the values ]

= 5 / 3 × 3 / 2

= 5 / 2 [ ★ Required answer ]

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