Question 910386
{{{ x^2-2x-3= sqrt( 4 ) }}}

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

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

{{{ x^2-2x-5 =0}}} use quadratic formula

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

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

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

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

{{{x = (2 +- sqrt( 4*6) ))/2 }}} 

{{{x = (cross(2) +- cross(2)sqrt(6) ))/cross(2) }}} 

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

solutions:

{{{x = (1 + sqrt(6) ) }}}  or {{{x = (1 - sqrt(6) ) }}} 

as decimal

{{{x = 3.5 ) }}}  or {{{x = -1.5 }}} 

{{{ graph( 600, 600, -10, 10, -10, 10, x^2-2x-5 ) }}}