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Question

If α and β are the roots of the equation 3x25x+2=0, then find the values of αβ+βα

A
136
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B
136
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C
126
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D
None of these
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Solution

The correct option is A 136
α and β are the roots of the equation 3x25x+2=0.
3x25x+2=0
3x23x2x+2=0
3x(x1)2(x1)=0
(x1)(3x2)=0
x=1 and x=23
Since, α and β are two roots then, α=1 and β=23

αβ+βα

123+231

32+23

9+42×3

136

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