Question 178903
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Given:{{{2x^2+5x-12=0}}}
where{{{system(a=2,b=5,c=-12)}}}
Solving the discriminant:{{{b^2-4ac=5^2-4*2*-12=25+96=121}}}
Continuing by Quadratic:
{{{x=(-5+-sqrt(121))/(2*2)=(-5+-11)/4}}}
{{{x=(-5+11)/4=6/4=highlight(3/2)}}}
{{{x=(-5-11)/4=-16/4=highlight(-4)}}}
We'll see the graph;
{{{drawing(400,400,-7,7,-16,7,grid(1),graph(400,400,-7,7,-16,7,2x^2+5x-12),green(circle(3/2,0,.15)),green(circle(-4,0,.15)),green(circle(-4,0,.12)),green(circle(3/2,0,.12)))}}}
Thank you,
Jojo</pre>