Solve v^2=0+2*9^circ8*10^3

$$v ^ { 2 } = 0 + 2 \times 9 ^ { \circ } 8 \times 10 ^ { 3 }$$

Solve for v

$$v=120\sqrt{10}\approx 379.47331922$$

$$v=-120\sqrt{10}\approx -379.47331922$$

Steps by Finding Square Root

Multiply 2 and 9 to get 18.

$$v^{2}=0+18\times 8\times 10^{3}$$

Multiply 18 and 8 to get 144.

$$v^{2}=0+144\times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$v^{2}=0+144\times 1000$$

Multiply 144 and 1000 to get 144000.

$$v^{2}=0+144000$$

Add 0 and 144000 to get 144000.

$$v^{2}=144000$$

Take the square root of both sides of the equation.

$$v=120\sqrt{10} v=-120\sqrt{10}$$

Steps Using the Quadratic Formula

Multiply 2 and 9 to get 18.

$$v^{2}=0+18\times 8\times 10^{3}$$

Multiply 18 and 8 to get 144.

$$v^{2}=0+144\times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$v^{2}=0+144\times 1000$$

Multiply 144 and 1000 to get 144000.

$$v^{2}=0+144000$$

Add 0 and 144000 to get 144000.

$$v^{2}=144000$$

Subtract 144000 from both sides.

$$v^{2}-144000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -144000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$v=\frac{0±\sqrt{0^{2}-4\left(-144000\right)}}{2}$$

Square 0.

$$v=\frac{0±\sqrt{-4\left(-144000\right)}}{2}$$

Multiply -4 times -144000.

$$v=\frac{0±\sqrt{576000}}{2}$$

Take the square root of 576000.

$$v=\frac{0±240\sqrt{10}}{2}$$

Now solve the equation v=\frac{0±240\sqrt{10}}{2} when ± is plus.

$$v=120\sqrt{10}$$

Now solve the equation v=\frac{0±240\sqrt{10}}{2} when ± is minus.

$$v=-120\sqrt{10}$$

The equation is now solved.

$$v=120\sqrt{10} v=-120\sqrt{10}$$