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If α and β are the roots of the equation ax 2 + bx + c = 0, find the value of α2 + β2
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b 2 - 2ac 2a 2 -
b 2 + 2ac a 2 -
b 2 + 2ac a 2a -
b 2 - 2ac a 2
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Correct Option: D
Since α and β are the roots of the quadratic equation
ax2 + bx + c = 0
| ∴ α + β = − | , αβ = | ||
Now , α2 + β2 = ( α + β ) 2 - 2αβ
| = |  - |  | 2 | - 2 | | | ||
| a | a |
| = | - | = | |||
| a2 | a | a2 |
Thus , option D will be required answer .
