Question

решыть уравнения. (×+1)-(×-1)=×(6×+2)

Answer 1

(x+1)-(x-1)=x(6x+2)
x+1-x+1=6x²+2x
2=6x²+2x
6x²+2x-2=0 /(2)
3x²+x-1=0

$sqrt{D} = sqrt{1^2-4*3*(-1)} = sqrt{1-(-12)} = sqrt{1+12} = sqrt{13}$

x₁$= frac{-1+ sqrt{13} }{2*3} = frac{-1+ sqrt{13} }{6}$

x₂$= frac{-1- sqrt{13} }{2*3} = frac{-1- sqrt{13} }{6}$