Question

2x –3 = 3x – 1
___ ____
X–6 x–2​

Answer 1

$\frac{2x - 3}{x - 6} = \frac{3x - 1}{x - 2} \\ (2x - 3)(x - 2) = (3x - 1)(x - 6) \\ 2 {x}^{2} - 4x - 3x + 6 = 3 {x}^{2} - 18x - x + 6 \\ 2 {x}^{2} - 3 {x}^{2} - 7x + x + 18x = 6 - 6 \\ - {x}^{2} + 12x = 0$

∆=144

×=-12±12/-2

×'=0

×"=-24/-2=12

S={0;12}

Answer 2

Explicação passo-a-passo:

(2x-3).(x-2)=(3x-1)(x-6)

2x^2-4x-3x+6=3x^2-18x-x+6

2x^2-7x+6=3x^2-19x+6

-3x^2+2x^2+19x-7x=0

-x^2+12x=0

x(-x+12)=0

x=0

x=12