SOLUTION: Solve. (Enter your answers as a comma-separated list.) 2v+63/(v+4)+3v=16

Algebra ->  Equations -> SOLUTION: Solve. (Enter your answers as a comma-separated list.) 2v+63/(v+4)+3v=16      Log On


   

Question 1058314: Solve. (Enter your answers as a comma-separated list.)
2v+63/(v+4)+3v=16
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
2v%2B63%2F%28v%2B4%29%2B3v=16

2%28v%2B4%29v%2B63%2B3v%28v%2B4%29=16v%2B64

2v%5E2%2B8v%2B3v%5E2%2B12%2B63=16v%2B64

5v%5E2%2B8v%2B12=16v%2B1

5v%5E2-8v%2B11=0
and to avoid looking for factorization combinations to try,
Discriminant is 64-4%2A5%2A11=64-20%2A11=64-220=-156=-3%2A52=-3%2A2%2A2%2A13=-26%2A2%5E2;

v=%28-8%2B-+sqrt%28-26%2A2%5E2%29%29%2F%282%2A5%29

v=%28-8%2B-+2i%2Asqrt%2826%29%29%2F%282%2A5%29

highlight%28v=%28-4%2B-+i%2Asqrt%2826%29%29%2F5%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve. (Enter your answers as a comma-separated list.)
2v+63/(v+4)+3v=16
Correct answer: highlight_green%28matrix%281%2C7%2C+v%2C+%22=%22%2C+1%2F5%2C+or%2C+v%2C+%22=%22%2C+-+1%29%29

All other answers that "say" otherwise are INCORRECT, so IGNORE them!