Question

Решите пожалуйста примерчик по алгебре​

Answer 1

$\displaystyle \tt (9x-5)^2-(x-11)^2=0\\\displaystyle \tt 81x^2-90x+25-(x^2-22x+121)=0\\\displaystyle \tt 81x^2-90x+25-x^2+22x-121=0\\\displaystyle \tt 80x^2-68x-96=0\\\displaystyle \tt 4(20x^2-17x-24)=0\\\displaystyle \tt 4(20x^2+15x-32x-24)=0\\\displaystyle \tt 4(5x(4x+3)-8(4x+3))=0\\\displaystyle \tt 4(4x+3)(5x-8)=0\: \: \: \: \: | \div 4\\\displaystyle \tt (4x+3)(5x-8)=0\\\displaystyle \tt 4x+3=0\\\displaystyle \tt 4x=-3\\\displaystyle \tt x=\frac{-3}{4}$

$\displaystyle \tt \boxed{\bold{x_1=-0,75}}\\\displaystyle \tt 5x-8=0\\\displaystyle \tt 5x=8\\\displaystyle \tt x=\frac{8}{5}\\\displaystyle \tt \boxed{\bold{x=1,6}}$