x^2-3x=y+3-এর সমাধান করুন

$$x ^ { 2 } - 3 x = y + 3$$

Solve for y

$$y=x^{2}-3x-3$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$y+3=x^{2}-3x$$

Subtract 3 from both sides.

$$y=x^{2}-3x-3$$

Solve for x (complex solution)

$$x=\frac{\sqrt{4y+21}+3}{2}$$

$$x=\frac{-\sqrt{4y+21}+3}{2}$$

Solve for x

$$x=\frac{\sqrt{4y+21}+3}{2}$$

$$x=\frac{-\sqrt{4y+21}+3}{2}\text{, }y\geq -\frac{21}{4}$$