Module 17 - Solving Quadratic Equations by the Quadratic Formula
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| What is the Quadratic Formula? | A quadratic equation written in the form ax<sup>2</sup> + bx + c = 0 has the solutions: x=-b±√(b<sup>2</sup>-4ac)/2a
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| Use the Quadratic formula to solve:<br /> 2x=5x<sup>2</sup>-3 | Answers are: -3/5, 1
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| Use the Quadratic formula to solve:<br /> y<sup>2</sup>+5y = -2 | Answers are: -5-√(17)/2, -5+√(17)/2
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| Why does knowing the discriminant of a quadratic equation help in finding the solution? | By knowing the discriminant, one can predict the possible outcomes of a quadratic equation. If the outcome of the radicand is: <br /> Positive = 2 real solutions.<br /> Zero = 1 real solution <br /> Negative = 2 complex but not real solutions.
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| Use the discriminant to determine the number and types of solutions to the equation:<br /> 4x<sup>2</sup>+12x=-9 | The value of the radicand is Zero, so the equation has one real solution.
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| Use the discriminant to determine the number and types of solutions to the equation:<br /> 9y-2y<sup>2</sup>+5=0 | The value of the radicand is positive, so the equation has two real solutions.
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| Solve:<br /> 2x = √(11x + 3) | Answer = 3
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| Solve:<br /> 2x<sup>2/3</sup>+3x<sup>1/3</sup>-2=0 | Answers are: 1/8, -8
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| Solve:<br /> 27x<sup>4</sup>+15x<sup>2</sup>=2 | Answers are: -1/3, 1/3, -i√(6)/3, i√(6)/3
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| Use the Quadratic formula to solve:<br /> (m + 2)(2m - 6)= 5(m - 1) - 12 | Answers are: 5/2, 1
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To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
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