Question

Решите пожалуйста примерчик по алгебре​

Answer 1

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

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