Question 144308


{{{x+ sqrt(x+5) = 7}}}

{{{sqrt(x+5) = 7 -x}}}

{{{(sqrt(x+5))^2 = (7 -x)^2}}}

{{{x+5 = 7^2-14x +x^2}}}

{{{x+5 = 49 -14x +x^2}}}

{{{0=x^2-14x -x + 49 -5 }}}

{{{x^2-15x + 44=0 }}}

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

{{{x = (-(-15) +- sqrt( (-15)^2-4*1*44 ))/(2*1) }}}

{{{x = (15 +- sqrt( 225 -176))/2 }}}

{{{x = (15 +- sqrt(49))/2 }}}

{{{x = (15 +- (7))/2 }}}

{{{x1 = (15 + 7)/2 }}}

{{{x1 = 22/2 }}}

{{{x1 = 11 }}}.........one solution

{{{x2 = (15 - 7)/2 }}}

{{{x2 = 8/2 }}}

{{{x2 = 4 }}}............other solution