486 Вправа 486Алгебра 8 клас Тарасенкова 2025 · § 12 · стор. 143

486. Знайдіть такі точки графіка функції y = x², у яких абсциса:

1) ${\displaystyle y=}$${\displaystyle x}$;

${\displaystyle x^2=}$${\displaystyle x}$;

${\displaystyle x^2-x=}$${\displaystyle 0}$;

${\displaystyle x(x-1)=}$${\displaystyle 0}$;

${\displaystyle x=}$${\displaystyle 0}$, ${\displaystyle y=}$${\displaystyle 0}$ або ${\displaystyle x=}$${\displaystyle 1}$, ${\displaystyle y=}$${\displaystyle 1}$. Точки ${\displaystyle \left(0;0\right)}$ і ${\displaystyle \left(1;1\right)}$;

2) ${\displaystyle y=}$${\displaystyle 3x}$;

${\displaystyle x^2=}$${\displaystyle 3x}$;

${\displaystyle x^2-3x=}$${\displaystyle 0}$;

${\displaystyle x(x-3)=}$${\displaystyle 0}$;

${\displaystyle x=}$${\displaystyle 0}$, ${\displaystyle y=}$${\displaystyle 0}$ або ${\displaystyle x=}$${\displaystyle 3}$, ${\displaystyle y=}$${\displaystyle 9}$. Точки ${\displaystyle \left(0;0\right)}$ і ${\displaystyle \left(3;9\right)}$.