SOLUTION: I need some help with this question -4 1/5x2 + 1 2/5x - 2 4/5 = 0 Here are my options. I can't seem to get it right. A) x = {1 +- i[SQRT(23)]}/6 B) x = {-1 +- i[SQRT(10)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I need some help with this question -4 1/5x2 + 1 2/5x - 2 4/5 = 0 Here are my options. I can't seem to get it right. A) x = {1 +- i[SQRT(23)]}/6 B) x = {-1 +- i[SQRT(10)      Log On


   



Question 743616: I need some help with this question
-4 1/5x2 + 1 2/5x - 2 4/5 = 0
Here are my options. I can't seem to get it right.
A) x = {1 +- i[SQRT(23)]}/6
B) x = {-1 +- i[SQRT(10)]} / 6
C) x = {1 +- [SQRT(23)]} /-6
D) x = 1 +- 5/2 x^2
E) x = -1 +- 2/5 x^2
F) x = 2 +- 20 x^2

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
-4%261%2F5x² + 1%262%2F5x - 2%264%2F5 = 0

Change the mixed fractions to improper fractions:

-21%2F5x² + 7%2F5x - 14%2F5 = 0

Clear of fractions by multiplying every term through by 5

-21x² + 7x - 14 = 0

Divide through by -7, (negative so the leading term will be 
positive):

3x² - x + 2 = 0

That doesn't factor so we use the quadratic formula:

x = %28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

with a = 3, b = -1, c = 2

x = %28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A%283%29%2A%282%29+%29%29%2F%282%2A%283%29%29+

x = %281+%2B-+sqrt%281-24+%29%29%2F6+

x = %281+%2B-+sqrt%28-23+%29%29%2F6+

x = %281+%2B-+i%2Asqrt%2823+%29%29%2F6+

x = %281+%2B-+i%2Asqrt%2823+%29%29%2F6+

Edwin