Solve 940*16*34*u^2=1600

$$940 \times 16 \times 34 \times u ^ { 2 } = 1600$$

Solve for u

$$u=\frac{\sqrt{7990}}{1598}\approx 0.055936671$$

$$u=-\frac{\sqrt{7990}}{1598}\approx -0.055936671$$

Steps by Finding Square Root

Multiply 940 and 16 to get 15040.

$$15040\times 34u^{2}=1600$$

Multiply 15040 and 34 to get 511360.

$$511360u^{2}=1600$$

Divide both sides by 511360.

$$u^{2}=\frac{1600}{511360}$$

Reduce the fraction \frac{1600}{511360} to lowest terms by extracting and canceling out 320.

$$u^{2}=\frac{5}{1598}$$

Take the square root of both sides of the equation.

$$u=\frac{\sqrt{7990}}{1598} u=-\frac{\sqrt{7990}}{1598}$$

Steps Using the Quadratic Formula

Multiply 940 and 16 to get 15040.

$$15040\times 34u^{2}=1600$$

Multiply 15040 and 34 to get 511360.

$$511360u^{2}=1600$$

Subtract 1600 from both sides.

$$511360u^{2}-1600=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 511360 for a, 0 for b, and -1600 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$u=\frac{0±\sqrt{0^{2}-4\times 511360\left(-1600\right)}}{2\times 511360}$$

Square 0.

$$u=\frac{0±\sqrt{-4\times 511360\left(-1600\right)}}{2\times 511360}$$

Multiply -4 times 511360.

$$u=\frac{0±\sqrt{-2045440\left(-1600\right)}}{2\times 511360}$$

Multiply -2045440 times -1600.

$$u=\frac{0±\sqrt{3272704000}}{2\times 511360}$$

Take the square root of 3272704000.

$$u=\frac{0±640\sqrt{7990}}{2\times 511360}$$

Multiply 2 times 511360.

$$u=\frac{0±640\sqrt{7990}}{1022720}$$

Now solve the equation u=\frac{0±640\sqrt{7990}}{1022720} when ± is plus.

$$u=\frac{\sqrt{7990}}{1598}$$

Now solve the equation u=\frac{0±640\sqrt{7990}}{1022720} when ± is minus.

$$u=-\frac{\sqrt{7990}}{1598}$$

The equation is now solved.

$$u=\frac{\sqrt{7990}}{1598} u=-\frac{\sqrt{7990}}{1598}$$