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 formula is written as 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 the equation:<br /> 2x=5x<sup>2</sup>-3 | -3/5, 1
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| Use the Quadratic formula to solve the equation:<br /> y<sup>2</sup>+5y = -2 | -5-√(17)/2, -5+√(17)/2
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| What benefit does knowing the discriminant of a quadratic equation help with in finding a solution to an equation? | Knowing the discriminant, one can predict the possible outcome of a quadratic equation.
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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 | This 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 | This equation has two real solutions.
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| Solve:<br /> 2x = √(11x + 3) | 3
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| Solve:<br /> 2x<sup>2/3</sup>+3x<sup>1/3</sup>-2= | 1/8, -8
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| Solve:<br /> 27x<sup>4</sup>+15x<sup>2</sup>=2 | -1/3, 1/3, -i√(6)/3, i√(6)/3
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| Use the Quadratic formula to solve the equation :<br /> (m + 2)(2m - 6)= 5(m - 1) - 12 | 5/2, 1
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Created by:
bytetroll
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