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Popular Algebra >

56.51000=1000(9.8)(3.65)+1000(V^2)/2

Solution

56.5 \cdot 1000 = 1000 (9.8) (3.65) + 1000 \cdot \frac{V ^{2}}{2}

Solution

V = \frac{2073}{5 2}, V = - \frac{2073}{5 2}

+1

Decimal

V = 6.43894 \dots, V = - 6.43894 \dots

Solution steps

56.5 \cdot 1000 = 1000 (9.8) (3.65) + 1000 \cdot \frac{V ^{2}}{2}

Expand

56.5 \cdot 1000 : 56500

Expand

1000 (9.8) (3.65) + 1000 \cdot \frac{V ^{2}}{2} : 35770 + 500 V^{2}

56500 = 35770 + 500 V^{2}

Switch sides

35770 + 500 V^{2} = 56500

Move

35770

to the right side

500 V^{2} = 20730

Divide both sides by

500

V^{2} = \frac{2073}{50}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

V = \frac{2073}{50}, V = - \frac{2073}{50}

\frac{2073}{50} = \frac{2073}{5 2}

- \frac{2073}{50} = - \frac{2073}{5 2}

V = \frac{2073}{5 2}, V = - \frac{2073}{5 2}

Graph

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