How to solve this inequalities problem?
1. -2x^2+6x+15≤0
2. 2x^3+13x^2-8x-46≥6
3. 5/x-6>3/x+2
4. 3x/x-1≤(x/x+4) +3
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OpenStudy (anonymous):
which one you want first?
OpenStudy (anonymous):
lets start with this one\[-2x^2+6x+15≤0\]
OpenStudy (anonymous):
you have to factor it,
i hate factoring, but it is easiest if the leading coefficient is positive, so lets change the signs and the inequality to get
\[2x^2-6x-15\geq 0\] the factor as
damn it doesn't factor
you sure this is the exact problem? we can still solve it, it will just be more of a pain
OpenStudy (anonymous):
Yes that's the problem. Idk factoring im not good at it haha lol
OpenStudy (anonymous):
I know the rules but im still confuse with inequalities lol
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OpenStudy (anonymous):
go to mathway.com
OpenStudy (anonymous):
you will get the exact answer if you type the inequalities in
OpenStudy (anonymous):
I don't have credit card. It doesn't show the solution only the answer
ganeshie8 (ganeshie8):
use quadratic formula and find x-intercepts
OpenStudy (anonymous):
How? :/
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ganeshie8 (ganeshie8):
\(2x^2-6x-15 = 0 \)
ganeshie8 (ganeshie8):
solve x using quadratic formula
ganeshie8 (ganeshie8):
here is the formula :-
\(x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}\)