solverational.py

Created by thabo
Created on April 19, 2024
707 Bytes
2/(x+3) + 2/9 = 2
    LCD = 9(x+3)
2/(x+3) x 9(x+3) + 2/9 x 9(x+3) = 2X9(x+3)
cross outs
2x9+2(x+3) = 18(x+3)
18 +2x+6 = 18x+54
2x+24 =18x+54
-16x+24 =54
-16x=30
  x=-15/8

x-3/x^2+3x-10 - 2/(x-2) = -6/(x+5)
    LCD = (x-2)(x+5)
x-3/x^2+3x-10 X (x-2)(x+5) 
  - 2/(x-2)X(x-2)(x+5) = -6/(x+5) X (x-2)(x+5)
Cross outs
x-3-2x(x+5)=-6(x-2)
x-3-2x-10 = -6x+12
-x-13=-6x+12
5x-13=12
5x=25
  x=5

-5x-9/x^2+7x+12 + 2x/x+3 = -2/x+4
    LCD=(x+3)(x+4)
-5x-9/x^2+7x+12 X (x+3)(x+4) 
  +2x/x+3 X (x+3)(x+4) = -2/x+4 X (x+3)(x+4)
Cross outs
-5x-9+2x(x+4) = -2(x+3)
-5x-9+2x^2+8x=-2x-6
2x^2+3x-9 = -2x-6
2x^2 +5x -3 = 0
(2x-1)(x+3)=0
2x-1=0  x+3 = 0
  x = 1/2  x cannot = -3 
    CHECK BOTH ANSWERS