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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# Category Archives: Precalculus

# 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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# Problem 2-6: Odd and Even Functions

Which one of the following functions are even or odd or neither?

a)

b)

c)

d)

e)

f)

Recall that a function is said to be *even* if and *odd* if .

**Solution**

a) Odd

b) Even

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# Problem 2-3: Solving an Inequality

Solve the inequality .

**Solution**

or

or

# Problem 2-1: Linearity of Functions

Which one(s) of the following functions is linear?

a) .

b) .

c) .

d) .

e) .

f) .

g) .

h) .

i) .

j) .

k) . ( is an arbitrary constant).

**Solution**

a) Linear

b) Linear

c) Linear

d) Nonlinear

e) Linear

f) Nonlinear

g) Nonlinear

h) Nonlinear

i) Nonlinear

j) Linear

k) Linear