TS EAMCET · Maths · Quadratic Equation
The difference between two roots of the equation \(x^3-13 x^2+15 x+189=0\) is 2 . Then the roots of the equation are :
- A \(-3,5,7\)
- B \(-3,-7,-9\)
- C \(3,-5,7\)
- D \(-3,-7,9\)
Answer & Solution
Correct Answer
(A) \(-3,5,7\)
Step-by-step Solution
Detailed explanation
Let roots of the equation \(x^3-13 x^2+15 x+189=0\) are \(\alpha, \alpha+2\) and \(\beta\) \(\alpha+\alpha+2+\beta=13\) \(\ldots\) (i) \(\alpha(\alpha+2)+(\alpha+2) \beta+\alpha \beta=15\) \(\ldots\) (ii) and \(\quad \alpha(\alpha+2) \beta=-189\) \(\ldots\) (iii) These three…
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