108 2x2=4 4x3=12 12x3=36 36x3=108
The expression of 5x3+6-x3 can simplified to 4x3+6
There can be no solution set because there is no equation or inequality, only an expression.
Maximize z = 6x1 - 2x2+ 3x3 subject to 2x1 - x2 + 2x3 ≤ 2, x1+ 4x3 ≤ 4, x1, x2 , x3 ≥ 0.
x3 + 2x2 - 35x = x(x + 7)(x - 5)
108 2x2=4 4x3=12 12x3=36 36x3=108
Z = 3x1+5x2+4x3 Subject to constraints2 x1 + 3x2 =8 3x1 + 2x 2 + 4x3=15 2x2 + 5x3 = 10 x1,x2,x3, =0
The expression of 5x3+6-x3 can simplified to 4x3+6
There can be no solution set because there is no equation or inequality, only an expression.
Maximize z = 6x1 - 2x2+ 3x3 subject to 2x1 - x2 + 2x3 ≤ 2, x1+ 4x3 ≤ 4, x1, x2 , x3 ≥ 0.
x3 + 2x2 - 35x = x(x + 7)(x - 5)
x3 + 2x2 + 5x + 4 = (x + 1)(x2 + x + 4)
x3 - 2x2 + x - 2 =(x - 2)(x2 + 1)
x3 + 2x2 - 8x + 5 = 0 x(2x - 8) + 5 = 0
X-(4x3)+(7-5)x3
x3 - 2x2 - 4x + 8 = (x2 - 4)(x - 2) = (x + 2)(x - 2)(x - 2)
(x3 + 3x2 - 2x + 7)/(x + 1) = x2 + 2x - 4 + 11/(x + 1)(multiply x + 1 by x2, and subtract the product from the dividend)1. x2(x + 1) = x3 + x22. (x3 + 3x2 - 2x + 7) - (x3 + x2) = x3 + 3x2 - 2x + 7 - x3 - x2 = 2x2 - 2x + 7(multiply x + 1 by 2x, and subtract the product from 2x2 - 2x + 7)1. 2x(x + 1) = 2x2 + 2x2. (2x2 - 2x + 7) - (2x2 + 2x) = 2x2 - 2x + 7 - 2x2 - 2x = -4x + 7(multiply x + 1 by -4, and subtract the product from -4x + 7)1. -4(x + 1) = -4x - 42. -4x + 7 - (-4x - 4) = -4x + 7 + 4x + 4 = 11(remainder)