238° Вправа 238Алгебра 8 клас Тарасенкова 2025 · § 7 · стор. 74

238. Розв’яжіть рівняння:

1) ${\displaystyle x(6-2x)=}$${\displaystyle 0}$;

${\displaystyle x=}$${\displaystyle 0}$ або ${\displaystyle 6-2x=}$${\displaystyle 0}$;

${\displaystyle x=}$${\displaystyle 0}$ або ${\displaystyle -2x=}$${\displaystyle -6}$;

${\displaystyle x=}$${\displaystyle 0}$ або ${\displaystyle x=}$${\displaystyle 3}$;

2) ${\displaystyle x^2+7x=}$${\displaystyle 0}$;

${\displaystyle x(x+7)=}$${\displaystyle 0}$;

${\displaystyle x=}$${\displaystyle 0}$ або ${\displaystyle x+7=}$${\displaystyle 0}$;

${\displaystyle x=}$${\displaystyle 0}$ або ${\displaystyle x=}$${\displaystyle -7}$;

3) ${\displaystyle (5-x)(x-4)=}$${\displaystyle 0}$;

${\displaystyle 5-x=}$${\displaystyle 0}$ або ${\displaystyle x-4=}$${\displaystyle 0}$;

${\displaystyle x=}$${\displaystyle 5}$ або ${\displaystyle x=}$${\displaystyle 4}$;

4) ${\displaystyle 2x^2-72=}$${\displaystyle 0}$;

${\displaystyle 2(x^2-36)=}$${\displaystyle 0}$;

${\displaystyle 2(x-6)(x+6)=}$${\displaystyle 0}$;

${\displaystyle x-6=}$${\displaystyle 0}$ або ${\displaystyle x+6=}$${\displaystyle 0}$;

${\displaystyle x=}$${\displaystyle 6}$ або ${\displaystyle x=}$${\displaystyle -6}$.