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Although the quadratic formula can be used to solve any quadratic equation, it is most useful when the solutions are irrational, meaning nonterminating, nonrepeating decimals. Rather than use a calculator to find a decimal approximation, we use simplifying radicals to leave the answers in exact form. Simplify each of the solutions be separating it into two fractions, and then reducing each fraction separately.
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Sample Problems (13)
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The Quadratic Formula
Problem 1 8,193 viewsSolve x² − 2x − 8 = 0 using the quadratic formula.

The Quadratic Formula
Problem 2 4,988 viewsSolve using the quadratic formula:
7x² − 2x − 8 = 0 
The Quadratic Formula
Problem 3 4,726 viewsSolve x² − 2x + 2 = 0 using the quadratic formula.

The Quadratic Formula
Problem 4 226 views 
The Quadratic Formula
Problem 5 199 views 
The Quadratic Formula
Problem 6 216 views 
The Quadratic Formula
Problem 7 191 views 
The Quadratic Formula
Problem 8 177 views 
The Quadratic Formula
Problem 9 199 views 
The Quadratic Formula
Problem 10 180 views 
The Quadratic Formula
Problem 11 190 views 
The Quadratic Formula
Problem 12 180 views 
The Quadratic Formula
Problem 13 197 views
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