TS EAMCET · Maths · Quadratic Equation
The number of non-real roots of the equation \(x^{10}-3 x^8+5 x^6-5 x^4+3 x^2-1=0\) is
- A 8
- B 6
- C 4
- D 2
Answer & Solution
Correct Answer
(A) 8
Step-by-step Solution
Detailed explanation
Given equation is \(x^{10}-3 x^8+5 x^6-5 x^4+3 x^2-1=0\) Let \(f(x)=x^{10}-3 x^8+5 x^6-5 x^4+3 x^2-1\). It has a even degree 10 then the graph of the given function would be symmetrical about \(y\)-axis. Put \(x=0,1,-1\) in \(f(x)\).…
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