AP EAMCET · Maths · Quadratic Equation
The quadratic equation whose sum of the roots is 11 and sum of squares of the roots is 61 is
- A \(x^2+11 x-30=0\)
- B \(x^2+11 x+30=0\)
- C \(x^2-11 x-30=0\)
- D \(x^2-11 x+30=0\)
Answer & Solution
Correct Answer
(D) \(x^2-11 x+30=0\)
Step-by-step Solution
Detailed explanation
Let \(\alpha\) and \(\beta\) are roots of quadratic equation \(\therefore \alpha+\beta=11\) and \(\alpha^2+\beta^2=61\) \(\Rightarrow(\alpha+\beta)^2-2 \alpha \beta=61\) \(\Rightarrow 121-2 \alpha \beta=61 \Rightarrow \alpha \beta=30\) \(\therefore\) Quadratic equation is…
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