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If α and β are the roots of the quadratic equation ax2 + bx + c = 0, then the value of
α + β is β α
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b 2 - 2ac ac -
b 2 - 2ac 2ac -
b 2 - ac 2ac -
b 2 + 2ac ac
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Correct Option: A
Since α and β are the roots of the equation ax 2 + bx + c = 0,
| ∴ α + β = − | and αβ = | ||
| Now , | + | = | = | ||||
| β | α | αβ | αβ |
| = |  | - | b |  | 2 | - 2 | | c | |
| a | a | ||||||||
| a | |||||||||
| = | | b2 | | - | | 2c | | ||
| a2 | a | ||||||||
| a | |||||||||
| = | b2 - 2ac |
| a2 | |
| a |
| Hence , | + | = | b2 - 2ac | ||
| β | α | ac |
