Solve x^2/4-x/2+y2/4=0

$$\frac{ { x }^{ 2 } }{ 4 } - \frac{ x }{ 2 } + \frac{ y2 }{ 4 } = 0$$

Solve for y_2

$$y_{2}=-x\left(x-2\right)$$

Solution Steps

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$x^{2}-2x+y_{2}=0$$

Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.

$$-2x+y_{2}=-x^{2}$$

Add 2x to both sides.

$$y_{2}=-x^{2}+2x$$

Solve for x (complex solution)

$$x=\sqrt{1-y_{2}}+1$$

$$x=-\sqrt{1-y_{2}}+1$$

Solve for x

$$x=\sqrt{1-y_{2}}+1$$

$$x=-\sqrt{1-y_{2}}+1\text{, }y_{2}\leq 1$$