Solve this: Q (iii) 4x-6-x-2x-3=x+4x-5-2x-1x-4 - Maths - Linear Inequalities

Question

Solve this:
Q (iii) 4 x - 6 - x - 2 x - 3 = x + 4 x - 5 - 2 x - 1 x - 4

Brijendra Pal · Accepted Answer

Hi, cross multiplying 4x-12-x2+2x+6x-12x2-9x+18=x2-16-2x2-x-5x+5x2-9x+20-x2+12x-24x2-9x+18=-x2+12x-25x2-9x+20let -x2+12x= a and x2-9x= b such that a-24b+18= a-25b+20ab+20a-24b-480= ab-25b+18a-4502a+b-30=0 putting value of a  and b -2x2+24x+ x2-9x-30=0 -x2+15x-30=0 x2-15x+30=0 x = 15±225-1202= 15±1052

Solve this: Q.(iii). 4 x - 6 - x - 2 x - 3 = x + 4 x - 5 - 2 x - 1 x - 4

Solve this:
Q.(iii). $\frac{4}{x - 6} - \frac{x - 2}{x - 3} = \frac{x + 4}{x - 5} - \frac{2 (x - 1)}{x - 4}$