Question 977415: Solve inequality. Please show steps too. I have no idea how to do this.
2x^2 + 9x + 4 < 0 Found 2 solutions by rothauserc, Cromlix:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! 2x^2 + 9x + 4 < 0
factor polynomial
(x+4)*(2x+1) = 0
two cases to consider
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1) x+4 = 0
x = -4
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2) 2x+1 = 0
2x = -1
x = -1/2
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solution is -4 < x < -1/2
You can put this solution on YOUR website! Hi there,
First of all factorise the equation:-
2x^2 + 9x + 4
(2x + 1)(x + 4)
So, x = -1/2 and x = -4
As this equation is positive (x^2)
it opens upwards.
It will cut the x axis at -4 and go
down and then rise and cut the x axis at -1/2
before rising above the x axis.
For 2x^2 + 9x + 4 <0
We are looking at the part of the curve below
the x axis.
This region is defined as:-
-4 < x < -1/2
This is the answer.
Hope this helps:-)
