V f2 =V i2+2ad SOLVE FOR Vi


2=squared

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Your equation is ambiguous.

If I understood well,

Vf^2 =Vi^2+2ad

Then, subtract 2ad from both sides;

Vf^2 -2ad=Vi^2

And put in square root on both sides to eliminate the squared.

\sqrt{Vf^2 -2ad}=Vi

I think the OP meant to write the formula for velocity given acceleration and distance, where V_f is final velocity and V_i is initial velocity:


{V_f } ^2 = 2ad + {V_i} ^2


Rearrange and you get:


V_i = \sqrt{{V_f} ^2 -2ad}