Question 950051
{{{3x^2 -10x-8=0}}}
{{{(x-4)(3x+2)=0}}}
Only the positive solution,
{{{x-4=0}}}
{{{x=4}}}
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The area of a triangle is,
{{{A=(1/2)bh=56}}}
{{{bh=112}}}
{{{(2x+4)(x+3)=56}}}
{{{2x^2+6x+4x+12=56}}}
{{{2x^2+10x-44=0}}}
{{{x^2+5x-22=0}}}
{{{x^2+5x+(5/2)^2-22=(5/2)^2}}}
{{{(x+5/2)^2=(25/4)+22}}}
{{{(x+5/2)^2=(25/4)+88/4}}}
{{{(x+5/2)^2=113/4}}}
{{{x+5/2=0 +- sqrt(113)/2}}}
{{{x=-5/2 +- sqrt(113)/2}}}
Only the positive solution works here,
{{{x=(sqrt(113)-5)/2}}}