Question

Решите уравнения) желательно сами

Answer 1

а)

$\displaystyle \tt 4x^2-11=x^2-11+9x\\\displaystyle \tt 4x^2-x^2-9x-11+11=0\\\displaystyle \tt 3x^2-9x=0\\\displaystyle \tt 3x(x-3)=0\\\displaystyle \tt 3x=0\\\displaystyle \tt \bold{x_1=0}\\\displaystyle \tt x-3=0\\\displaystyle \tt \bold{x_2=3}$

б)

$\displaystyle \tt x^2-3x-5=11-3x\\\displaystyle \tt x^2-3x+3x=11+5\\\displaystyle \tt x^2=16\\\displaystyle \tt x=\sqrt{16}\\\displaystyle \tt \bold{x_1=4}\\\displaystyle \tt x=-\sqrt{16}\\\displaystyle \tt \bold{x_2=-4}$