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AP EAMCET · Maths · Quadratic Equation

The sum of the roots of the equation e4t-10e3t+29e2t-22et+4=0 is

  1. A loge10
  2. B 2loge2
  3. C log229
  4. D 2log102
Verified Solution

Answer & Solution

Correct Answer

(B) 2loge2

Step-by-step Solution

Detailed explanation

Let x=et⇒t=logex Then, the given equation reduces to x4-10x3+29x2-22x+4=0 Now, product of roots taken all at a time of a biquadratic equation is constant termcoefficient of x2. Let x1, x2, x3 and x4 are the four roots of x4-10x3+29x2-22x+4=0, then…