Solve 82^2-0.955^2/2*9.81+2=0

$$\frac { 82 ^ { 2 } - 0.955 ^ { 2 } } { 2 \times 9.81 } + 2 = 0$$

Verify

Solution Steps

Calculate 82 to the power of 2 and get 6724.

$$\frac{6724-0.955^{2}}{2\times 9.81}+2=0$$

Calculate 0.955 to the power of 2 and get 0.912025.

$$\frac{6724-0.912025}{2\times 9.81}+2=0$$

Subtract 0.912025 from 6724 to get 6723.087975.

$$\frac{6723.087975}{2\times 9.81}+2=0$$

Multiply 2 and 9.81 to get 19.62.

$$\frac{6723.087975}{19.62}+2=0$$

Expand \frac{6723.087975}{19.62} by multiplying both numerator and the denominator by 1000000.

$$\frac{6723087975}{19620000}+2=0$$

Reduce the fraction \frac{6723087975}{19620000} to lowest terms by extracting and canceling out 225.

$$\frac{29880391}{87200}+2=0$$

Convert 2 to fraction \frac{174400}{87200}.

$$\frac{29880391}{87200}+\frac{174400}{87200}=0$$

Since \frac{29880391}{87200} and \frac{174400}{87200} have the same denominator, add them by adding their numerators.

$$\frac{29880391+174400}{87200}=0$$

Add 29880391 and 174400 to get 30054791.

$$\frac{30054791}{87200}=0$$

Compare \frac{30054791}{87200} and 0.

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