every equations of the form ax^2+bx+c=0 can be resolved using the quadratic formula: frac-b±sqrtb^2-4ac2a. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.


You are watching: H=vt-16t^2 solve for v

This equation is in conventional form: ax^2+bx+c=0. Substitute -16 because that a, v for b, and also -h for c in the quadratic formula, frac-b±sqrtb^2-4ac2a.
now solve the equation t=frac-v±sqrtv^2-64h-32 when ± is plus. Add -v to sqrtv^2-64h.
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