Reported Question / Answer
X/(x-1)(x-2)(x-3)=A/(x-1)+B(x-2)+(x-3) X/(x-1)(x-2)(x-3)=A(x-2)(x-3)+B(x-1)+(x-3)+C(x-1)(x-2) X=A(x-2)(x-3)+B(x-1)(x-3)+C(x-1)(x-2) Put x-1=0;x=1 1=A(1-2)(1-3)+B(1-1)(1-3)+C(1-1)(1-2) 1=A(-1)(-2)+0+0 1=2A A=1/2 Put x-2=0;x=2 2=A(2-2)(2-3)+B(2-1)(2-3)+C(2-1)(2-2) 2=0+B(1)(-1)+0 2=-1B B=-1/2 Put x-3=0;x=3 3=A(3-2)(3-2)+B(3-1)(3-3)+C(3-1)(3-2) 3=0+0+C(2)(1) 3=2C C=3/2 |A=1/2||B=-1/2||C=3/2| X/(x-a)(x-b)(x-c)=1/2(x-a)-1/2(x-b)+3/2(x-c)
Reading Corner ( Ctrl + Mouse Click)
Managed Services By: www.upscgk.com