AP EAMCET · Maths · Quadratic Equation
The value of \(a\) for which the equations \(x^3+a x+1=0\) and \(x^4+a x^2+1=0\) have a common root is
- A -2
- B -1
- C 1
- D 2
Answer & Solution
Correct Answer
(A) -2
Step-by-step Solution
Detailed explanation
Let \(a=-2\), \(\therefore x^3-2 x+1=0 \text { and } x^4-2 x^2+1=0\) Put \(x=1\), we get \(\begin{array}{rlrl} \Rightarrow & 1-2+1 & =0 \text { and } 1-2+1=0 \\ 0 =0 \text { and } 0=0 \end{array}\) Hence, required value is \(a=-2\)
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