Question

De urge
1/(x-1)+ 1/(2x-5)=1

Answer 1

1 / (x-1) + 1 / (2x-5) = 1

(2x-5)+(x-1) / (x-1)(2x-5) = 1

2x - 5 + x - 1 = (x-1)(2x-5)

3x - 6 = 2x² - 5x - 2x + 5

2x² - 5x - 2x - 3x + 5 + 6 = 0

2x² - 10x + 11 = 0

a = 2
b = -10
c = 11

x = [ -(-10) ± √(-10)²-4(2)(11) ] / 2(2)

x = [ 10/4 ± 2√3 / 4 ]

x = 5/2 ± √3 /2

x = (5+√3) / 2 ó x = (5-√3) / 2