Atrisiniet y^2-1/2x=1

$$y ^ { 2 } - \frac { 1 } { 2 } x = 1$$

Atrast x

$$x=2\left(y^{2}-1\right)$$

Lineāra vienādojuma risināšanas darbības

Atņemiet y^{2} no abām pusēm.

$$-\frac{1}{2}x=1-y^{2}$$

Reiziniet abas puses ar -2.

$$\frac{-\frac{1}{2}x}{-\frac{1}{2}}=\frac{1-y^{2}}{-\frac{1}{2}}$$

Dalīšana ar -\frac{1}{2} atsauc reizināšanu ar -\frac{1}{2}.

$$x=\frac{1-y^{2}}{-\frac{1}{2}}$$

Daliet -y^{2}+1 ar -\frac{1}{2}, reizinot -y^{2}+1 ar apgriezto daļskaitli -\frac{1}{2} .

$$x=2y^{2}-2$$

Atrast y (complex solution)

$$y=-\frac{\sqrt{2\left(x+2\right)}}{2}$$

$$y=\frac{\sqrt{2\left(x+2\right)}}{2}$$

Atrast y

$$y=\frac{\sqrt{2\left(x+2\right)}}{2}$$

$$y=-\frac{\sqrt{2\left(x+2\right)}}{2}\text{, }x\geq -2$$