SOLUTION: Can you please help me with this problem : 12x^2 + 5x - 25 >_ 0 Greater than or equal to 0

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Question 85628: Can you please help me with this problem : 12x^2 + 5x - 25 >_ 0


Greater than or equal to 0

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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%28400%2C300%2C-5%2C5%2C-40%2C10%2C12x%5E2%2B5x-25%29
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.