TS EAMCET · Maths · Quadratic Equation
All the roots of the equation \(x^5+15 x^4+94 x^3+305 x^2+507 x+353=0\) are increased by some real number \(k\) in order to eliminate the 4th degree term from the equation. Now, the coefficient of \(x\) in the transformed equation is
- A 2
- B 1
- C 6
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
Given equation is \[ x^5+15 x^4+94 x^3+305 x^2+507 x+353=0 \] If all roots of the equation is increased by \(k\), then transformed equation is \[ \begin{aligned} (x-k)^5+15(x-k)^4+ & 94(x-k)^3+305(x-k)^2 \\ + & 507(x-k)+353=0 \ldots \end{aligned} \] for eliminate 4 th degree…
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