AP EAMCET · Maths · Quadratic Equation
If the sum of two roots of the equation \(x^4+2 x^3-7 x^2-8 x+12=0\) is zero, then the sum of the squares of the other two roots is
- A \(5\)
- B \(10\)
- C \(13\)
- D \(25\)
Answer & Solution
Correct Answer
(B) \(10\)
Step-by-step Solution
Detailed explanation
Let the roots be \(\alpha, \beta, \gamma, \delta\). Given \(\alpha+\beta=0\). From Vieta's formulas for \(x^4+2 x^3-7 x^2-8 x+12=0\): \(\alpha+\beta+\gamma+\delta = -2 \implies 0+\gamma+\delta = -2 \implies \gamma+\delta = -2\)…
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