SOLUTION: v^2-v/2=5

Algebra ->  Expressions-with-variables -> SOLUTION: v^2-v/2=5      Log On


   



Question 153134: v^2-v/2=5
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for v:
v%5E2-v%2F2+=+5 First, multiply through by 2 to clear the fraction.
2v%5E2-v+=+10 Now subtract 10 from both sides.
2v%5E2-v-10+=+0 Factor the trinomial.
%282v-5%29%28v%2B2%29+=+0 Apply the zero product rule.
2v-5+=+0 or v%2B2+=+0
If 2v-5+=0 then 2v+=+5 and v+=+5%2F2
If v%2B2+=+0 then v+=+-2
Solutions:
v+=+5%2F2
v+=+-2