Solve 2.6-0.10*10=0.10*V_A^2/1.00

$$2.6 - 0.10 \times 10 = \frac { 0.10 \times V _ { A } ^ { 2 } } { 1.00 }$$

Solve for V_A

$$V_{A}=4$$

$$V_{A}=-4$$

Steps by Finding Square Root

Multiply 0.1 and 10 to get 1.

$$2.6-1=\frac{0.1V_{A}^{2}\times 1}{1}$$

Subtract 1 from 2.6 to get 1.6.

$$1.6=\frac{0.1V_{A}^{2}\times 1}{1}$$

Cancel out 1 and 1.

$$1.6=0.1V_{A}^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$0.1V_{A}^{2}=1.6$$

Divide both sides by 0.1.

$$V_{A}^{2}=\frac{1.6}{0.1}$$

Expand \frac{1.6}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$V_{A}^{2}=16$$

Take the square root of both sides of the equation.

$$V_{A}=4 V_{A}=-4$$

Steps Using the Quadratic Formula

Multiply 0.1 and 10 to get 1.

$$2.6-1=\frac{0.1V_{A}^{2}\times 1}{1}$$

Subtract 1 from 2.6 to get 1.6.

$$1.6=\frac{0.1V_{A}^{2}\times 1}{1}$$

Cancel out 1 and 1.

$$1.6=0.1V_{A}^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$0.1V_{A}^{2}=1.6$$

Subtract 1.6 from both sides.

$$0.1V_{A}^{2}-1.6=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 0.1 for a, 0 for b, and -1.6 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$V_{A}=\frac{0±\sqrt{0^{2}-4\times 0.1\left(-1.6\right)}}{2\times 0.1}$$

Square 0.

$$V_{A}=\frac{0±\sqrt{-4\times 0.1\left(-1.6\right)}}{2\times 0.1}$$

Multiply -4 times 0.1.

$$V_{A}=\frac{0±\sqrt{-0.4\left(-1.6\right)}}{2\times 0.1}$$

Multiply -0.4 times -1.6 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$V_{A}=\frac{0±\sqrt{0.64}}{2\times 0.1}$$

Take the square root of 0.64.

$$V_{A}=\frac{0±\frac{4}{5}}{2\times 0.1}$$

Multiply 2 times 0.1.

$$V_{A}=\frac{0±\frac{4}{5}}{0.2}$$

Now solve the equation V_{A}=\frac{0±\frac{4}{5}}{0.2} when ± is plus.

$$V_{A}=4$$

Now solve the equation V_{A}=\frac{0±\frac{4}{5}}{0.2} when ± is minus.

$$V_{A}=-4$$

The equation is now solved.

$$V_{A}=4 V_{A}=-4$$