Question 1001717

{{{4x^2+5x+2=2x^2+7x-1}}}

{{{4x^2+5x+2-2x^2-7x+1=0}}}

{{{2x^2-2x+3=0}}}

 {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

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

{{{x = (2 +- sqrt(4-24 ))/4 }}}

{{{x = (2 +- sqrt(-20 ))/4 }}}

{{{x = (2 +- sqrt((-1)*4*5 ))/4 }}}

{{{x = (2 +- 2i*sqrt(5 ))/4 }}}

{{{x = (cross(2)1 +- cross(2)i*sqrt(5 ))/cross(4)2 }}}

{{{x = (1 +- i*sqrt(5 ))/2 }}}

solutions:

{{{x = (1 + i*sqrt(5 ))/2 }}}
{{{x = (1 - i*sqrt(5 ))/2 }}}