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Question 22

Solving Quadratic Equations with Complex Solutions

Solve the quadratic equation 3x2 + 24x + 125 = 0 by using the Quadratic Formula.

-b-√b² - 4ac

Let x1 =

x1 =

2a

Note: If only one solution exists, x2 will equal DNE

3x² + 24x + 125 = 0

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and x2 =

=

Approximate Form

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-b+ √b² - 4ac

2a

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x2 =

Approximate Form

Fig: 1