SOLUTION: 86.) Find all real or imaginary solutions. use the method of your choice. 3v^2 + 4v - 1 = 0

Algebra ->  Test -> SOLUTION: 86.) Find all real or imaginary solutions. use the method of your choice. 3v^2 + 4v - 1 = 0      Log On


   

Question 164655This question is from textbook Elementary and Intermediate
: 86.) Find all real or imaginary solutions. use the method of your choice.
3v^2 + 4v - 1 = 0 This question is from textbook Elementary and Intermediate

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3v%5E2%2B4v-1=0
Let's use the quadratic formula,
v+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
v+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A3%2A%28-1%29+%29%29%2F%282%2A3%29+
v+=+%28-4+%2B-+sqrt%28+16%2B12+%29%29%2F%286%29+
v+=+%28-4+%2B-+sqrt%28+28+%29%29%2F%286%29+
v+=+%28-4+%2B-+2%2Asqrt%28+7+%29%29%2F%286%29+
v+=+%28-2+%2B-+sqrt%28+7+%29%29%2F%283%29+
.
.
.
Approximately
v=0.22,-1.55
Here a graph of the function to check our solution.
+graph%28+300%2C+300%2C+-3%2C+3%2C+-5%2C+5%2C+3x%5E2%2B4x-1%29+