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These are solved for using the [[quadratic formula]], which will not only solve for [[real number|real]] roots, but result in the [[imaginary number|imaginary]] roots if the parabola does not actually cross the y axis (this is when <math>4ac</math> is greater than <math>b^2</math>).
 
These are solved for using the [[quadratic formula]], which will not only solve for [[real number|real]] roots, but result in the [[imaginary number|imaginary]] roots if the parabola does not actually cross the y axis (this is when <math>4ac</math> is greater than <math>b^2</math>).
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Quadratic equations are very important in calculating the motion of bodies under constant [[acceleration]], i.e., [[gravity]].
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Quadratic equations are very important in calculating the motion of bodies under constant [[acceleration]], i.e., [[gravity]] (when close to the earth's surface).
    
The [[derivative]] of a quadratic equation is a simple [[linear function]]:
 
The [[derivative]] of a quadratic equation is a simple [[linear function]]:
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