Solve n=70.051*0.50*0.50/(70.051-1)*(frac{0.05{1.96})^2+0.50*0.50}=

$$n = \frac { 70.051 * 0.50 * 0.50 } { ( 70.051 - 1 ) * ( \frac { 0.05 } { 1.96 } ) ^ { 2 } + 0.50 * 0.50 } =$$

Solve for n

$$n = \frac{672769804}{11330275} = 59\frac{4283579}{11330275} \approx 59.378064875$$

Steps for Solving Linear Equation

Multiply 70.051 and 0.5 to get 35.0255.

$$n=\frac{35.0255\times 0.5}{\left(70.051-1\right)\times \left(\frac{0.05}{1.96}\right)^{2}+0.5\times 0.5}$$

Multiply 35.0255 and 0.5 to get 17.51275.

$$n=\frac{17.51275}{\left(70.051-1\right)\times \left(\frac{0.05}{1.96}\right)^{2}+0.5\times 0.5}$$

Subtract 1 from 70.051 to get 69.051.

$$n=\frac{17.51275}{69.051\times \left(\frac{0.05}{1.96}\right)^{2}+0.5\times 0.5}$$

Expand \frac{0.05}{1.96} by multiplying both numerator and the denominator by 100.

$$n=\frac{17.51275}{69.051\times \left(\frac{5}{196}\right)^{2}+0.5\times 0.5}$$

Calculate \frac{5}{196} to the power of 2 and get \frac{25}{38416}.

$$n=\frac{17.51275}{69.051\times \frac{25}{38416}+0.5\times 0.5}$$

Multiply 69.051 and \frac{25}{38416} to get \frac{69051}{1536640}.

$$n=\frac{17.51275}{\frac{69051}{1536640}+0.5\times 0.5}$$

Multiply 0.5 and 0.5 to get 0.25.

$$n=\frac{17.51275}{\frac{69051}{1536640}+0.25}$$

Add \frac{69051}{1536640} and 0.25 to get \frac{453211}{1536640}.

$$n=\frac{17.51275}{\frac{453211}{1536640}}$$

Divide 17.51275 by \frac{453211}{1536640} by multiplying 17.51275 by the reciprocal of \frac{453211}{1536640}.

$$n=17.51275\times \frac{1536640}{453211}$$

Multiply 17.51275 and \frac{1536640}{453211} to get \frac{672769804}{11330275}.

$$n=\frac{672769804}{11330275}$$

Assign n

$$n≔\frac{672769804}{11330275}$$