AP EAMCET · Maths · Quadratic Equation
Equation \(x^5-5 x^3+5 x^2-1=0\) has equal roots
- A 2
- B 3
- C 4
- D 5
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
Given, \(f(x)=x^5-5 x^3-5 x-1=0\) Now by inspection, \(x=1 \text { is a zero of } f(x)\) So, we can divide \(f(x)\) by \(x-1\) to get, \(f(x)=(x-1)\left(x^4+x^3-4 x^2+x+1\right)\) We similarly proceed to get…
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