Solve HB=2*30000/9,8*3,14*10(10-sqrt{10^2-4^2}

$$H B = \frac { 2 \times 30000 } { 9,8 \times 3,14 \times 10 ( 10 - \sqrt { 10 ^ { 2 } - 4 ^ { 2 } } }$$

Solve for B

$$B=\frac{187500\left(\sqrt{21}+5\right)}{7693H}$$

$$H\neq 0$$

Steps for Solving Linear Equation

Calculate 10 to the power of 2 and get 100.

$$HB=\frac{2\times 30000}{9,8\times 3,14\times 10\left(10-\sqrt{100-4^{2}}\right)}$$

Calculate 4 to the power of 2 and get 16.

$$HB=\frac{2\times 30000}{9,8\times 3,14\times 10\left(10-\sqrt{100-16}\right)}$$

Subtract 16 from 100 to get 84.

$$HB=\frac{2\times 30000}{9,8\times 3,14\times 10\left(10-\sqrt{84}\right)}$$

Factor 84=2^{2}\times 21. Rewrite the square root of the product \sqrt{2^{2}\times 21} as the product of square roots \sqrt{2^{2}}\sqrt{21}. Take the square root of 2^{2}.

$$HB=\frac{2\times 30000}{9,8\times 3,14\times 10\left(10-2\sqrt{21}\right)}$$

Use the distributive property to multiply 9,8\times 3,14\times 10 by 10-2\sqrt{21}.

$$HB=\frac{2\times 30000}{10\left(9,8\times 3,14\times 10\right)-2\left(9,8\times 3,14\times 10\right)\sqrt{21}}$$

The equation is in standard form.

$$HB=\frac{60000}{-\frac{15386\sqrt{21}}{25}+3077,2}$$

Divide both sides by H.

$$\frac{HB}{H}=\frac{187500\sqrt{21}+937500}{7693H}$$

Dividing by H undoes the multiplication by H.

$$B=\frac{187500\sqrt{21}+937500}{7693H}$$

Divide \frac{187500\sqrt{21}+937500}{7693} by H.

$$B=\frac{187500\left(\sqrt{21}+5\right)}{7693H}$$

Solve for H

$$H=\frac{187500\left(\sqrt{21}+5\right)}{7693B}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Calculate 10 to the power of 2 and get 100.

$$HB=\frac{2\times 30000}{9,8\times 3,14\times 10\left(10-\sqrt{100-4^{2}}\right)}$$

Calculate 4 to the power of 2 and get 16.

$$HB=\frac{2\times 30000}{9,8\times 3,14\times 10\left(10-\sqrt{100-16}\right)}$$

Subtract 16 from 100 to get 84.

$$HB=\frac{2\times 30000}{9,8\times 3,14\times 10\left(10-\sqrt{84}\right)}$$

Factor 84=2^{2}\times 21. Rewrite the square root of the product \sqrt{2^{2}\times 21} as the product of square roots \sqrt{2^{2}}\sqrt{21}. Take the square root of 2^{2}.

$$HB=\frac{2\times 30000}{9,8\times 3,14\times 10\left(10-2\sqrt{21}\right)}$$

Use the distributive property to multiply 9,8\times 3,14\times 10 by 10-2\sqrt{21}.

$$HB=\frac{2\times 30000}{10\left(9,8\times 3,14\times 10\right)-2\left(9,8\times 3,14\times 10\right)\sqrt{21}}$$

The equation is in standard form.

$$BH=\frac{60000}{-\frac{15386\sqrt{21}}{25}+3077,2}$$

Divide both sides by B.

$$\frac{BH}{B}=\frac{187500\sqrt{21}+937500}{7693B}$$

Dividing by B undoes the multiplication by B.

$$H=\frac{187500\sqrt{21}+937500}{7693B}$$

Divide \frac{187500\sqrt{21}+937500}{7693} by B.

$$H=\frac{187500\left(\sqrt{21}+5\right)}{7693B}$$