Question 945674
75 - 60m + 12m^2
12m^2 - 60m + 75 = 0
12mm - 60m + 75 = 0
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the above quadratic equation is in standard form, with a=12, b=-60 and c=75
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
12 -60 75
into this solver: http://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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m = 2.5
m = 2.5
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answer:
(m - 2.5)(m - 2.5)
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now, solve by a different method: completing the square:
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(12mm - 60m + 75 = 0)/12
mm - 5m + 6.25 = 0
mm - 5m + (5/2)(5/2) + 6.25 = (5/2)(5/2)
mm - 5m + (2.5)*(2.5) = (2.5)*(2.5) - 6.25
mm - 5m + (2.5)*(2.5) = 6.25 - 6.25
mm - 5m + (2.5)*(2.5) = 0
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answer:
(m - 2.5)(m - 2.5)
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