Question

Tolong bantu ya..bintang 5 deh bagi yang membantu..

Answer 1

Jadi hasilnya 55 maaf klo slh

Answer 2

A/(x-2)  + (Bx + C) /(x² - x + 1)  = (5x² - 8x + 5) /(x-2)(x² -x + 1)

A(x² - x + 1) + (x-2)(Bx + C) =  5x² - 8x + 5
Ax² - Ax + A  + Bx² + Cx - 2B x - 2C = 5x² - 8x + 5
(A+B)x² + (-A-2B+C)x + (A-2C ) = 5x² - 8x + 5
koefisien ruas kiri = koefisien ruas kanan
(A+B) = 5 ............(1)
(-A-2B +C) = -8....(2)
A- 2C = 5..............(3)
...
(1) dan (3)
A + B  = 5
A - 2C = 5
................(-)
B + 2C = 0 ......(4)
.
(2) dan (3)
-A -2B +C = - 8
A - 2C = 5
........................(+)
- 2B - C = - 3 .....(5)
..
(4) dan (5)
B+2C = 0.
-2B - C = - 3.....kalikan 2
...
B + 2C = 0
-4B - 2C = - 6
.........................(+)
- 3B =- 6
B = 2 

B + 2C = 0
2 + 2C = 0
2C = -2
C = -1

A + B = 5
A + 2 = 5
A = 3

A, B,C = 3, 2 , -1