Question

Решите срочно пожалуйста

Answer 1

$(x-5)^3(x-1)-(x-8)^2(x^2-2)=49\\(x^3-15x^2+75x-125)(x-1)(x^2-16x+64)(x^2-2)=49\\x^4-16x^3+90x^2-200x+125-x^4-62x^2+16x^3-32x+128-49=0\\28x^2-232x+204=0\\x^2-\frac{58}{7}x+\frac{253}{28}=\frac{7}{4}\Leftrightarrow x^2-\frac{58}{7}x+\frac{841}{49}=\frac{484}{49}\\\left ( x-\frac{29}{7} \right )^2=\frac{484}{49}\Leftrightarrow x-\frac{29}{7}=\pm \frac{22}{7}\\x=\left \{ 1;\frac{51}{7} \right \}$