Solve HB=1500/3.14*5*(5-sqrt{5^2-2.295^2)}

$$H B = \frac { 1500 } { 3.14 \cdot 5 \cdot ( 5 - \sqrt { 5 ^ { 2 } - 2.295 ^ { 2 } } ) }$$

Solve for B

$$B=\frac{1000000\left(\sqrt{789319}+1000\right)}{11025639H}$$

$$H\neq 0$$

Steps for Solving Linear Equation

Multiply 3.14 and 5 to get 15.7.

$$HB=\frac{1500}{15.7\left(5-\sqrt{5^{2}-2.295^{2}}\right)}$$

Calculate 5 to the power of 2 and get 25.

$$HB=\frac{1500}{15.7\left(5-\sqrt{25-2.295^{2}}\right)}$$

Calculate 2.295 to the power of 2 and get 5.267025.

$$HB=\frac{1500}{15.7\left(5-\sqrt{25-5.267025}\right)}$$

Subtract 5.267025 from 25 to get 19.732975.

$$HB=\frac{1500}{15.7\left(5-\sqrt{19.732975}\right)}$$

Use the distributive property to multiply 15.7 by 5-\sqrt{19.732975}.

$$HB=\frac{1500}{78.5-15.7\sqrt{19.732975}}$$

The equation is in standard form.

$$HB=\frac{1500}{-\frac{157\sqrt{19.732975}}{10}+78.5}$$

Divide both sides by H.

$$\frac{HB}{H}=\frac{1000000\sqrt{789319}[phone]}{11025639H}$$

Dividing by H undoes the multiplication by H.

$$B=\frac{1000000\sqrt{789319}[phone]}{11025639H}$$

Divide \frac{1000000\sqrt{789319}[phone]}{11025639} by H.

$$B=\frac{1000000\left(\sqrt{789319}+1000\right)}{11025639H}$$

Solve for H

$$H=\frac{1000000\left(\sqrt{789319}+1000\right)}{11025639B}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Multiply 3.14 and 5 to get 15.7.

$$HB=\frac{1500}{15.7\left(5-\sqrt{5^{2}-2.295^{2}}\right)}$$

Calculate 5 to the power of 2 and get 25.

$$HB=\frac{1500}{15.7\left(5-\sqrt{25-2.295^{2}}\right)}$$

Calculate 2.295 to the power of 2 and get 5.267025.

$$HB=\frac{1500}{15.7\left(5-\sqrt{25-5.267025}\right)}$$

Subtract 5.267025 from 25 to get 19.732975.

$$HB=\frac{1500}{15.7\left(5-\sqrt{19.732975}\right)}$$

Use the distributive property to multiply 15.7 by 5-\sqrt{19.732975}.

$$HB=\frac{1500}{78.5-15.7\sqrt{19.732975}}$$

The equation is in standard form.

$$BH=\frac{1500}{-\frac{157\sqrt{19.732975}}{10}+78.5}$$

Divide both sides by B.

$$\frac{BH}{B}=\frac{1000000\sqrt{789319}[phone]}{11025639B}$$

Dividing by B undoes the multiplication by B.

$$H=\frac{1000000\sqrt{789319}[phone]}{11025639B}$$

Divide \frac{1000000\sqrt{789319}[phone]}{11025639} by B.

$$H=\frac{1000000\left(\sqrt{789319}+1000\right)}{11025639B}$$