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Quadratic formula
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==Dimensional analysis== If the constants {{tmath|a}}, {{tmath|b}}, and/or {{tmath|c}} are not [[unitless]] then the quantities {{tmath|x}} and {{tmath|\tfrac ba}} must have the same units, because the terms {{tmath|\textstyle ax^2}} and {{tmath|bx}} agree on their units. By the same logic, the coefficient {{tmath|c}} must have the same units as {{tmath|\tfrac{b^2}{a} }}, irrespective of the units of {{tmath|x}}. This can be a powerful tool for verifying that a quadratic expression of [[physical quantities]] has been set up correctly.
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