Question 85628
12x^2 + 5x - 25 >_ 0
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x=[-5+-sqrt(25-4*12*-25)]/24

x=[-5+-35]/24

x=[-40/24] or x=30/24
x=-5/3 or x=5/4
(3x+5)(4x-5)>=0
Draw a number line.
Plot the points x=-5/3 and x=5/4
Find the solution interval for the original problem
Graphing you would get:
{{{graph(400,300,-5,5,-40,10,12x^2+5x-25)}}}
Notice that the curve is above the x-axis for x<-5/3 and for x>5/4
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Cheers,
Stan H.