A quadratic equation can be solved by taking the square root of both sides of the equation. This method uses the square root property,

Before taking the square root, the equation must be arranged with the x2 term isolated on the left- hand side of the equation and its coefficient reduced to 1. There are four steps in solving quadratic equations by this method:

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# Monthly Archives: July 2010

# Solving Quadratic Equations I: Factoring (Grouping)

# Solving Equations II: Radical Equations

A radical equation is an equation in which a variable appears under a radical sign. It may also have more than one radical. Let's see some examples of radical equations:

# Solving Equations I: Linear Equations

In a linear equation, each term is either a constant or the product of a constant and a single variable of degree 1. It can have one or more variables. Here are some linear equations:

where is a constant

However, the following equations are not linear:

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# Electrical Circuits eBooks

# Nodal Analysis eBook

You are welcome to download our free ebook about Nodal Analysis from here. ~~You need to sign up for our site before downloading.~~ Please note that we will never sell, trade or share your email with a third-party. Occasionally, we will send you an email about new posts, ebooks and exciting things happening in solved-problems.com.

**content**

- Introduction
- Reference Node
- Node Voltages
- Nodal Analysis Steps
- Complicated Cases

- Circuits with Non-grounded Voltage Sources
- Circuits with Dependent Current Sources
- Circuits with Dependent Voltage Sources

- More Problems

# Nodal Analysis

# Nodal Analysis eBook

You are welcome to download our free ebook about Nodal Analysis from here. You need to sign up for our site before downloading. Please note that we will never sell, trade or share your email with a third-party. Occasionally, we will send you an email about new posts, ebooks and exciting things happening in solved-problems.com.

# Nodal Analysis Steps

1) Identify all nodes in the circuit. Call the number of nodes N.

2) Select a reference node. Label it with reference (ground) symbol. As a general rule, the reference node is usually chosen to be

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# Nodal Analysis - Circuit with Dependent Voltage Source

Determine the power of each source after solving the circuit by the nodal analysis.

Answers: and

**Solution**

I. Identify all nodes in the circuit.

The circuit has 6 nodes as highlighted below.

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# Nodal Analysis – 6-Node Circuit

Determine the power of each source after solving the circuit by the nodal analysis.

**Solution**

I. Identify all nodes in the circuit.

The circuit has 6 nodes as indicated below.

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