Solve sqrt{3.49y}=-2.84x+10000

$$\sqrt { 3.49 y } = - 2.84 x + 10000$$

Solve for y

$$y=\frac{100\left(-\frac{71x}{25}+10000\right)^{2}}{349}$$

$$-\frac{71x}{25}+10000\geq 0$$

Steps for Solving Radical Equations

Square both sides of the equation.

$$3.49y=\frac{\left(250000-71x\right)^{2}}{625}$$

Divide both sides of the equation by 3.49, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{3.49y}{3.49}=\frac{\left(250000-71x\right)^{2}}{3.49\times 625}$$

Dividing by 3.49 undoes the multiplication by 3.49.

$$y=\frac{\left(250000-71x\right)^{2}}{3.49\times 625}$$

Divide \frac{\left(-71x+250000\right)^{2}}{625} by 3.49 by multiplying \frac{\left(-71x+250000\right)^{2}}{625} by the reciprocal of 3.49.

$$y=\frac{4\left(250000-71x\right)^{2}}{8725}$$

Solve for x (complex solution)

$$x=-\frac{5\sqrt{349y}}{142}+\frac{250000}{71}$$

Solve for y (complex solution)

$$y=\frac{100\left(-\frac{71x}{25}+10000\right)^{2}}{349}$$

$$x=\frac{250000}{71}\text{ or }arg(-\frac{71x}{25}+10000)<\pi$$

Solve for x

$$x=-\frac{5\sqrt{349y}}{142}+\frac{250000}{71}$$

$$y\geq 0$$