SOLUTION: Help Please? 3x^2x+1=0 x=2+or-1 'Squared'(-2)^+4(3)(1) ___________ __________ 2(3) THE DIVISION STARTS FROM THE WORD SQUARED

Algebra ->  Equations -> SOLUTION: Help Please? 3x^2x+1=0 x=2+or-1 'Squared'(-2)^+4(3)(1) ___________ __________ 2(3) THE DIVISION STARTS FROM THE WORD SQUARED      Log On


   

Question 146573: Help Please?
3x^2x+1=0
x=2+or-1 'Squared'(-2)^+4(3)(1)
______________________
2(3)
THE DIVISION STARTS FROM THE WORD SQUARED
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2%2B2x%2B1=0 Start with the given equation.


Let's use the quadratic formula to solve for x


x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


x+=+%28-%282%29+%2B-+sqrt%28+%282%29%5E2-4%283%29%281%29+%29%29%2F%282%283%29%29 Plug in a=3, b=2, and c=1


x+=+%28-2+%2B-+sqrt%28+4-4%283%29%281%29+%29%29%2F%282%283%29%29 Square 2 to get 4.


x+=+%28-2+%2B-+sqrt%28+4-12+%29%29%2F%282%283%29%29 Multiply 4%283%29%281%29 to get 12


x+=+%28-2+%2B-+sqrt%28+-8+%29%29%2F%282%283%29%29 Subtract 12 from 4 to get -8


x+=+%28-2+%2B-+sqrt%28+-8+%29%29%2F%286%29 Multiply 2 and 3 to get 6.


x+=+%28-2+%2B-+2i%2Asqrt%282%29%29%2F%286%29 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


x+=+%28-2%2B2i%2Asqrt%282%29%29%2F%286%29 or x+=+%28-2-2i%2Asqrt%282%29%29%2F%286%29 Break up the expression.


x+=+%28-1%2Bi%2Asqrt%282%29%29%2F%283%29 or x+=+%28-1-i%2Asqrt%282%29%29%2F%283%29 Reduce


So our answers are x+=+%28-1%2Bi%2Asqrt%282%29%29%2F%283%29 or x+=+%28-1-i%2Asqrt%282%29%29%2F%283%29


which approximate to x=0.138%2Ai or x=-0.805%2Ai