absoulte value quadratic inequalities

absoulte value quadratic inequalities - • If there is...

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Background: The solutions of the quadratic equation are given by the quadratic formula : . The expression under the square root, , is called the discriminant of the quadratic equation. It turns out that the value of the discriminant determines the number of real solutions to : If , there are real solutions to .
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Unformatted text preview: • If , there is real solution to . • If , there are no real solutions to (as the square root of a negative number is not a real number). The current problem: In order for to have no real solutions , we must have the discriminant . Plugging , , and into this inequality and solving for , we have ....
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This note was uploaded on 02/10/2009 for the course MATH 107 taught by Professor Self during the Spring '08 term at Washington State University .

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