Question

решите уравнение x-1/2=4/x+1​

Answer 1

ОДЗ: x+1≠0; x≠-1

$\displaystyle\frac{x-1}{2} =\frac{4}{x+1} \\(x-1)(x+1)=2\times4\\x^{2} -1=8\\x^{2} -9=0\\(x-3)(x+3)=0\\x_{1} =3\\x_{2} =-3$