Question

ПОМОГИТЕ ПЖ , Срооооочно надо !!!

Answer 1

1)

$\displaystyle \frac{2x+3}{2x-1}=\frac{x-5}{x+3}\\\\ODZ: \left \{ {{2x-1\neq 0} \atop {x+3\neq 0}} \right.; x\neq 0.5; x\neq -3\\\\(2x+3)(x+3)=(2x-1)(x-5)\\\\2x^2+3x+6x+9=2x^2-x-10x+5\\\\9x+9=-11x+5\\\\20x=-4\\\\x=-0.2$

2)

$\displaystyle \frac{1+5x}{x+1}=\frac{2+x}{x}\\\\ODZ: \left \{ {{x+1\neq 0} \atop {x\neq 0}} \right.; x\neq -1; x\neq 0\\\\(1+5x)*x=(x+1)(2+x)\\\\x+5x^2=2x+2+x^2+x\\\\x+5x^2=x^2+3x+2\\\\4x^2-2x-2=0\\\\2(2x^2-x-1)=0\\\\D=1+8=9\\\\x_{1.2}=\frac{1 \pm 3}{4}\\\\x_1=1; x_2=-0.5$