698° Вправа 698Алгебра 8 клас Тарасенкова 2025 · § 16 · стор. 205

698. Розв’яжіть графічно систему рівнянь:

1) ${\displaystyle \{\begin{array}{rl}& y=\sqrt{x},\\ & y=2x-1;\end{array}}$

${\displaystyle y=}$${\displaystyle \sqrt{x}}$:

${\displaystyle y=}$${\displaystyle 2x-1}$:

Розв’язок: ${\displaystyle \left(1;1\right)}$;

2) ${\displaystyle \{\begin{array}{rl}& y=\sqrt{x},\\ & y=x-6;\end{array}}$

${\displaystyle y=}$${\displaystyle \sqrt{x}}$:

${\displaystyle y=}$${\displaystyle x-6}$:

Розв’язок: ${\displaystyle \left(9;3\right)}$;

3) ${\displaystyle \{\begin{array}{rl}& y=\sqrt{x},\\ & y=-2x+3;\end{array}}$

${\displaystyle y=}$${\displaystyle \sqrt{x}}$:

${\displaystyle y=}$${\displaystyle -2x+3}$:

Розв’язок: ${\displaystyle \left(1;1\right)}$;

4) ${\displaystyle \{\begin{array}{rl}& y=\sqrt{x},\\ & y=-x;\end{array}}$

${\displaystyle y=}$${\displaystyle \sqrt{x}}$:

${\displaystyle y=}$${\displaystyle -x}$:

Розв’язок: ${\displaystyle \left(0;0\right)}$.