AP EAMCET · Maths · Quadratic Equation
Number of roots common to the equations \(x^3+x^2-2 x-2=0\) and \(x^3-x^2-2 x+2=0\) is
- A 1
- B 2
- C 3
- D 0
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
Let \(x\) is the common root of the equations \(x^3+x^2-2 x-2=0 \text { and } x^3-x^2-2 x+2=0\) So, \(\alpha\) will satisfy both the equations \(\begin{array}{ll} \text {Now, } & \alpha^3+\alpha^2-2 \alpha-2=0 \\ \text {and } & \alpha^3-\alpha^2-2 \alpha+2=0 \end{array}\) On…
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