920 Вправа 920Алгебра 8 клас Бевз 2025 · § 18 · стор. 175

920. Розв’яжи рівняння.

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

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

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

б) ${\displaystyle {(z-4)}^2=}$${\displaystyle 4}$;

${\displaystyle z-4=}$${\displaystyle 2\text{або }z-4=}$${\displaystyle -2}$;

${\displaystyle z_1=}$${\displaystyle 6,z_2=}$${\displaystyle 2}$;

в) ${\displaystyle 2{(x-7)}^2=}$${\displaystyle 18}$;

${\displaystyle {(x-7)}^2=}$${\displaystyle 9}$;

${\displaystyle x-7=}$${\displaystyle 3\text{або }x-7=}$${\displaystyle -3}$;

${\displaystyle x_1=}$${\displaystyle 10,x_2=}$${\displaystyle 4}$;

г) ${\displaystyle x^2-10x+25=}$${\displaystyle 0}$;

${\displaystyle {(x-5)}^2=}$${\displaystyle 0}$;

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

ґ) ${\displaystyle 4x^2+32x=}$${\displaystyle -64}$;

${\displaystyle 4x^2+32x+64=}$${\displaystyle 0}$;

${\displaystyle x^2+8x+16=}$${\displaystyle 0}$;

${\displaystyle {(x+4)}^2=}$${\displaystyle 0}$;

${\displaystyle x=}$${\displaystyle -4}$.