Solve beta=sqrt{-0.04829*E}

$$\beta = \sqrt { - 0.04829 \times E }$$

Solve for E

$$E=-\frac{100000\beta ^{2}}{4829}$$

$$\beta \geq 0$$

Steps for Solving Radical Equations

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

$$\sqrt{-0.04829E}=\beta$$

Square both sides of the equation.

$$-0.04829E=\beta ^{2}$$

Divide both sides of the equation by -0.04829, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.04829E}{-0.04829}=\frac{\beta ^{2}}{-0.04829}$$

Dividing by -0.04829 undoes the multiplication by -0.04829.

$$E=\frac{\beta ^{2}}{-0.04829}$$

Divide \beta ^{2} by -0.04829 by multiplying \beta ^{2} by the reciprocal of -0.04829.

$$E=-\frac{100000\beta ^{2}}{4829}$$

Solve for β

$$\beta =\frac{\sqrt{-48290E}}{1000}$$

$$E\leq 0$$