Question

а)х-3/х+2=6
б)х-5/х-3=х/х+1
ПОМОГИТЕ!

Answer 1

1) x-3=6x+12
-5x=12+3
-5x=15
x=-3
2) (x-5)(x+1)=x(x-3)
x^2-4x-5=x^2-3x
x^2-x^2-4x+3x=5
-x=5
x=-5

Answer 2

а) $x- frac{3}{x} +2=6 => x- frac{3}{x}-4=0 => frac{ x^{2} -4x-3}{x} =0 =>$$left { {{x^{2} -4x-3=0} atop {x neq 0}} right.=> D=16+4*3=28 =>$$D=16+4*3=28 => x_{1} =2+ sqrt{7} , x_{2}=2- sqrt{7}$
б) $x- frac{5}{x} = frac{x}{x} +1=> x- frac{5}{x}=2 => frac{ x^{2} -2x-5}{ x^{2} }=0 =>$$left { {{frac{ x^{2} -2x-5}{ x^{2} }=0 atop {x neq 0}} right. =>$$x^{2} -2x-5=0 => D=4+4*5=24 => x_{1} =1+ sqrt{6} , x_{2}=1- sqrt{6}$