Question 644219
The diagonals of a rectangle are congruent.


{{{(2x^2-8x+17)m=(x^2+2x-7)m}}}


{{{(2x^2-8x+17)cross(m)=(x^2+2x-7)cross(m)}}}


{{{2x^2-8x+17=x^2+2x-7}}}


{{{2x^2-8x+17-x^2-2x+7=0}}}


{{{x^2-10x+24=0}}}


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


{{{x = (-(-10) +- sqrt( (-10)^2-4*1*24 ))/(2*1) }}}


{{{x = (10 +- sqrt(100-96 ))/2 }}}


{{{x = (10 +- sqrt(4 ))/2 }}}


{{{x = (10 +- 2)/2 }}}...find solutions


{{{x = (10 + 2)/2 }}}


{{{x = 12/2 }}}


{{{x = 6 }}}


or


{{{x = (10 - 2)/2 }}}


{{{x = 8/2 }}}


{{{x = 4}}}