Question 1134679

{{{4x^2 + 25 = 12x}}}


{{{4x^2 -12x+ 25 = 0}}}

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


{{{x = (-(-12) +- sqrt( (-12)^2-4*4*25 ))/(2*4) }}} 

{{{x = (12 +- sqrt( 144-400 ))/8 }}} 


{{{x = (12 +- sqrt( -256 ))/8 }}} 


{{{x = (12 +- sqrt(256 )sqrt( -1))/8 }}} 


{{{x = (12 +- 16i)/8 }}} 

{{{x = (cross(12)3 +- cross(16)4i)/cross(8)2 }}} 


{{{x = (3 +- 4i)/2 }}} 



solutions:

{{{x = (3 + 4i)/2 }}} =>{{{highlight(x = 3/2 + 2i )}}} 


{{{x = (3 - 4i)/2 }}} =>{{{highlight(x = 3/2 - 2i) }}}