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An analysis of a circuit shown in Fig. P2.1 yields the *I* as
*I* is in amps.

(a) Rewrite the above equation in the form
*a* and *b* are constants.

(b) Solve the equation in part (a) by each of the following methods: factoring, compacting the square, and the quadratic formula.

**(a)**

To rewrite the given current relation in the form of

## Answer to Problem 1P

The required equation of current in the form of

### Explanation of Solution

**Given:**

The current relation is given as

**Calculation:**

Divide by

Rearrange above equation.

The required equation of current in the form of

**Conclusion:**

Thus, the required equation of current in the form of

**(b)**

Solve the equation

## Answer to Problem 1P

The equation is solved by factoring, completing the square, and the quadratic and the roots of the equation are

### Explanation of Solution

**Concept Used:**

The roots of the quadratic equation can be determined by the quadratic formula given as-

**Calculation:**

Substitute

This equation gives two values of current

For completing square method,

Rearrange equation (1)

Add

Rearrange the above equation.

The value of current

For factoring method,

Rearrange equation (1)

The value of current

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# Chapter 2 Solutions

Introductory Mathematics for Engineering Applications

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