State your preferred method.
Answer to Problem 130AYU
Three methods has been decribed.
Explanation of Solution
Given information:
Describe three ways you might solve a
Calculation:
Describe three ways to solve a quadratic equation and which method is preferred.
Three ways we could solve a quadratic equation to the form
To solve a quadratic equation by factoring, we have to first consider the factors of
Consider the equation
The factors of
Then use the Zero-Product Property to set each factor equal to zero and find the two real solutions to this equation are
A second way to solve a quadratic is to use the quadratic formula
This formula can be used on any quadratic equation and is useful when the equation cannot be factored easily.
If the value of the discriminant
A third way to solve a quadratic equation is by completing the square. Consider the equation
Add
Here
Hence, we’ve described three ways to solve a quadratic equation by factoring, using the quadratic formula, or by completing the square.
Chapter A Solutions
Precalculus
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