Exam 9: Quadratic Equations

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Solve the equation. Solve the equation.

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Combine the complex numbers. Combine the complex numbers.

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The square of the sum of a number and 3 is 16. Find the number. (There are two solutions.)

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Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you. Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

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Divide the complex numbers. Divide the complex numbers.

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Graph the parabola Graph the parabola   and the parabola   on the same coordinate system. and the parabola Graph the parabola   and the parabola   on the same coordinate system. on the same coordinate system.

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Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you. Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

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The graph of The graph of   is shown in the figure. As you can see, the graph does not cross the x -axis. If the graph did cross the x -axis, the x -intercepts would be solutions to the equation   .   Solve this equation. The solutions will confirm the fact that the graph cannot cross the x -axis. is shown in the figure. As you can see, the graph does not cross the x -axis. If the graph did cross the x -axis, the x -intercepts would be solutions to the equation The graph of   is shown in the figure. As you can see, the graph does not cross the x -axis. If the graph did cross the x -axis, the x -intercepts would be solutions to the equation   .   Solve this equation. The solutions will confirm the fact that the graph cannot cross the x -axis. . The graph of   is shown in the figure. As you can see, the graph does not cross the x -axis. If the graph did cross the x -axis, the x -intercepts would be solutions to the equation   .   Solve this equation. The solutions will confirm the fact that the graph cannot cross the x -axis. Solve this equation. The solutions will confirm the fact that the graph cannot cross the x -axis.

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Solve the equation by using the quadratic formula. Solve the equation by using the quadratic formula.     __________ Solve the equation by using the quadratic formula.     __________ __________

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If one solution to a quadratic equation is If one solution to a quadratic equation is   what do you think the other solution is? what do you think the other solution is?

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Solve the equation by completing the square. Solve the equation by completing the square.

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Solve the equation. Solve the equation.

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Combine the complex numbers. Combine the complex numbers.

(Multiple Choice)
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Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you. Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

(Essay)
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The following equation has a graph that is parabola. However, the graph of this equation will open downward; the vertex of it shall be the highest point on the graph. Graph the equation by first making a table of ordered pairs using the given values of The following equation has a graph that is parabola. However, the graph of this equation will open downward; the vertex of it shall be the highest point on the graph. Graph the equation by first making a table of ordered pairs using the given values of   .  . The following equation has a graph that is parabola. However, the graph of this equation will open downward; the vertex of it shall be the highest point on the graph. Graph the equation by first making a table of ordered pairs using the given values of   .

(Multiple Choice)
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Solve the equation by using the quadratic formula. Solve the equation by using the quadratic formula.

(Multiple Choice)
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Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you. Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

(Essay)
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Solve the equation by using the quadratic formula. Solve the equation by using the quadratic formula.

(Essay)
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Solve the equation by using the quadratic formula. Solve the equation by using the quadratic formula.

(Multiple Choice)
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Solve the equation by completing the square. Solve the equation by completing the square.

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