Question

Решите уравнение 3х+2/2х-5=1-4х

Answer 1

3 x + 2 / 2 x - 5 = 1 - 4 x
3 x + 2 / 2 x + 4 x = 1 + 5
7 2/2 x = 6
x = 6 : 8
x = 0, 75

Answer 2

$frac{3x+2}{2x-5}=1-4x \ \ 3x+2=(1-4x)(2x-5) \ 3x+2=2x-8x^2-5+20x \ 8x^2-19x+7=0 \ D=b^2-4ac=(-19)^2-4*8*7=361-224=137 \ x_1= frac{19- sqrt{137} }{2*8}=0.45596 \ x_2= frac{19+ sqrt{137} }{2*8}=1.919$