Question

Сделать ток первые 3!

Answer 1

$1)\; \; x^2+14x-2=0\; \; ,\; \; D/4=7^2+2=51\; \; ,\; \; \Rightarrow \\\\x_1=-7+\sqrt{51}\; \; ,\; \; x_{2}=-7-\sqrt{51}$

$2)\; \; x_{1,2}=-29\pm \sqrt{841+1}=-29\pm \sqrt{842}\\\\\\x^2+px+q=0\\\\q=x_1\cdot x_2=(-29-\sqrt{842})(-29+\sqrt{842})=-(\sqrt{842}+29)(\sqrt{842}-29)=\\\\=-(842-29^2)=-(842-841)=-1\\\\-p=x_1+x_2=(-29-\sqrt{842})+(-29+\sqrt{842})=-58\; \; ,\; \; p=58\\\\x^2+58x-1=0$

$3)\; \; x+2=\frac{16x+10}{x}\; \; ,\; \; \; x\ne 0\\\\x(x+2)=16x+10\; \; \to \; \; x^2+2x-16x-10=0\; \; ,\; \; x^2-14x-10=0\; ,\\\\D/4=7^2+10=59\; ,\; \; x_1=7-\sqrt{59}\; \; ,\; \; x_2=7+\sqrt{59}$