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AP EAMCET · Maths · Quadratic Equation

Which of the following is not a root of f(x)=x3-11x2+36x-36?

  1. A 2
  2. B 4
  3. C 3
  4. D 6
Verified Solution

Answer & Solution

Correct Answer

(B) 4

Step-by-step Solution

Detailed explanation

The following is not a root of x3-11x2+36x-36=0 ⇒x3-2x2-9x2+18x+18x-36=0 ⇒x2(x-2)-9x(x-2)+18(x-2)=0 ⇒(x-2)(x2-9x+18)=0 ⇒x=2,   x=9±81-722 ⇒x=2, x=9±32 ⇒x=2, x=6,3 ⇒x=2,3,6  are roots…