TS EAMCET · Maths · Quadratic Equation
If the sum of two of the roots of \(x^3+p x^2-q x+r=0\) is zero, then \(p q\) is equal to
- A \(-r\)
- B \(r\)
- C \(2 r\)
- D \(-2 r\)
Answer & Solution
Correct Answer
(A) \(-r\)
Step-by-step Solution
Detailed explanation
Given that, \(x^3+p x^2-q x+r=0\) \(\ldots\) (i) Let \(\alpha, \beta, \gamma\) are roots of this equation \(\alpha+\beta+\gamma=-p\) \(\ldots\) (ii) \(\alpha \beta+\beta \gamma+\gamma \alpha=-q…
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