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Complex Numbers And Quadratic Equations
If the roots of the quadratic equation x^{2} + px + q = 0 are tan30° and tan15°, respectively then the value of 2 + q − p is
2
3
0
1
B.
3
x^{2} + px + q = 0
tan 30° + tan 15° = − p
tan 30° ⋅ tan 15° = q
⇒ − p = 1 − q
⇒ q − p = 1
∴ 2 + q − p = 3
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