AP EAMCET · Maths · Quadratic Equation
The equation \(x^4-x^3-6 x^2+4 x+8=0\) has two equal roots. If \(\alpha, \beta\) are the other two roots of this equation then \(\alpha^2+\beta^2=\)
- A 4
- B 5
- C 6
- D 7
Answer & Solution
Correct Answer
(B) 5
Step-by-step Solution
Detailed explanation
\(x^4-x^3-6 x^2+4 x+8=0\) By Hit and trial \(x=2\) is a root of the equation \(\Rightarrow(x-2)\left(x^3+x^2-4 x-4\right)=0\) Again \(x=2\) is a root of the equation…
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