If the roots of ax² + bx + c = 0 (a > 0) be greater than unity, then?
- a + b + c < 0
- a + b + c > 0
- a + b + c = 0
- None of these
Explanation
Quadratic Equation Roots
Given: ax^2 + bx + c = 0 with a > 0$ and roots greater than 1.
For both roots to be greater than 1, given the parabola opens upwards (a > 0), the condition is f(1) > 0:
f(1) = a(1)^2 + b(1) + c = a + b + c > 0.
Related MCQs
- sinx
- tanx
- cosx
- None of these
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- (x + 2)(x + 1)
- (x - 2)(x + 1)
- (x + 2)(x - 1)
- None of these
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