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What is the first step in solving a quadratic equation by factoring or quadratic formula?
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Write as ax2 + bx + c = 0
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What is the quadratic formula?
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What is the square root method?
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If x2 = d then x = sqrt (d) or x = - sqrt(d)
note: sqrt means square root |
Which two methods work everytime for solving quadratic equations?
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Completing the square and quadratic formula.
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When must you use completing the square?
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When writing the equation of a circle in standard form?
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What is the standard form of a circle?
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(x - h)2 + (y - k)2 = r2 where the center is (h, k) and the radius is r.
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What is the standard form of quadratic equation?
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F(x) = a(x - h)2 + k where (h, k) is the vertex
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What is the axis of symmetry?
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The vertical line x = h.
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What is the vertex formula for f(x) = ax2 + bx + c
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X = -b
2a |
What two things do you need to find the equation of a circle?
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The center and the radius
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What is the distance formula
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What is the midpoint formula?
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What is tirst two steps for completing the square?
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1. Isolate the x terms on one side.
2. Divide each term by the coefficient of x2 , if necessary. |
What is the key step to completing the square?
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Take the coefficient of the x term, divide by 2, square the answer, then add to both sides.
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