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If α and β are the roots of the equation 3x^2 + 8x + 2 = 0 then (1/α + 1/β) = ? (a) (–3)/8 (b) 2/3 (c) –4 (d) 4

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Question

If α and β are the roots of the equation 3x2 + 8x + 2 = 0 then `(1/α + 1/β)` = ?

Options

  • `(-3)/8`

  • `2/3`

  • –4

  • 4

MCQ
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Solution

–4

Explanation:

It is given that α and β are the roots of the equation 3x2 + 8x + 2 = 0  

∴ `α + β = -8/3` and `αβ = 2/3` 

`1/α + 1/β = (α + β)/(αβ)`

= `(-8/3)/(2/3)`

= –4

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Chapter 4: Quadratic Equations - TEST YOURSELF [Page 238]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
TEST YOURSELF | Q 14. | Page 238
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