ExamBro
ExamBro
AP EAMCET · Maths · Basic of Mathematics

If x4+24x2+28x2+13=Ax+Bx2+1+Cx+Dx2+12+Ex+Fx2+13 then the value of A+B+C+D+E+F=

  1. A 21
  2. B 22
  3. C 28
  4. D 29
Verified Solution

Answer & Solution

Correct Answer

(C) 28

Step-by-step Solution

Detailed explanation

Given x4+24x2+28x2+13=Ax+Bx2+1+Cx+Dx2+12+Ex+Fx2+13 i.e. x4+24x2+28=Ax+Bx2+12+Cx+Dx2+1+Ex+F x4+24x2+28=Ax5+2Ax3+Ax+Bx4+2Bx2+B+Cx3+Dx2+Cx+D+Ex+F x4+24x2+28=Ax5+Bx4+2A+Cx3+2B+Dx2+A+C+Ex+B+D+F i.e. A=0, B=1, 2A+C=0, 2B+D=24, A+C+E=0, B+D+F=28…