Question 743616
<pre>
{{{-4&1/5}}}x² + {{{1&2/5}}}x - {{{2&4/5}}} = 0

Change the mixed fractions to improper fractions:

{{{-21/5}}}x² + {{{7/5}}}x - {{{14/5}}} = 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 = {{{(-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

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

x = {{{(-(-1) +- sqrt( (-1)^2-4*(3)*(2) ))/(2*(3)) }}}

x = {{{(1 +- sqrt(1-24 ))/6 }}}

x = {{{(1 +- sqrt(-23 ))/6 }}}

x = {{{(1 +- i*sqrt(23 ))/6 }}}

x = {{{(1 +- i*sqrt(23 ))/6 }}}

Edwin</pre>