SOLUTION: how do you solve this problem 5x^2-7x-6>0

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Question 43808: how do you solve this problem
5x^2-7x-6>0

Answer by prabhjyot(165) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2-7x-6%3E0
Step 1: Write the quadratic inequality in standard form.

This quadratic inequality is already in standard form.
Step 2: Solve the quadratic equation,ax%5E2%2Bbx%2Bc=0, by factoring to get the boundary point(s).

5(x-2)(x+0.6)
x = 2, -0.6
2and -0.6 are boundary points.
Step3:

''''''' -0.6 '''''''''''''' '' 2
-------|-------|----------|------
Note that the two boundary points create three sections on the graph:(-inf,-0.6),(-0.6,2)and (2,inf)
Step 4: Find the sign of every factor in every interval.
Since we are looking for the quadratic expression to be greater THAN 0, that means we need our sign to be positive
x<-0.6 or x>2