Problem

Solve each equation by the zero-factor property. See Example.EXAMPLE Using the Zero-Factor...

Solve each equation by the zero-factor property. See Example.

EXAMPLE Using the Zero-Factor Property

Solve 6x2 + 7x = 3.

SOLUTION

A quadratic equation of the form x2 = k can also be solved by factoring.

This proves the square root property.

Square Root Property

If x2 = k, then

That is, the solution set of x2 = k is

Both solutions and are real if k > 0, and both are pure imaginary if k < 0. If k < 0, then we write the solution set as

If k = 0, then there is only one distinct solution, 0, sometimes called a double solution.

9x2 − 12x + 4 = 0

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Solutions For Problems in Chapter 1.4

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