Question

1/x-2 + 2/x-1 =6/x find the roots of the following quadratic equations by factorisation

Answer 1

Answer:

The roots of the quadratic equation are 3 and 4/3

Answer 2

Answer:3 and 4/3 are the roots of equation

Step-by-step explanation: 1/x-2 + 2/x-1 = 6x

LCM=x[x-1][x-2]

x[x-1] + 2x[x-2] = 6[x-1][x-2]

x2-x + 2x2-4x = 6[x2-2x-x+2]

3x2-5x = 6[x2-3x+2]

3x2-5x = 6x2-18x+12

3x2-6x2-5x+18x-12=0

-3x2+13x-12=0

3x2-13x+12=0          -9x-4

3x2-9x-4x+12=0

3x[x-3]-4[x-3]=0

[x-3][3x-4]=0

x-3=0    3x-4=0

x=3        x=4/3