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Emmy Knox 2022-06-24 Answered
For what value of x is 3 x 2 x + 3 > 4 x x - 2 ?
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Answers (1)

pyphekam
Answered 2022-06-25 Author has 27 answers
Step 1
3 x 2 x + 3 > 4 x x - 2
4 x 2 + 12 x > 3 x 3 - 6 x 2
3 x 3 - 10 x 2 - 12 x < 0
x [ 3 x 2 - 10 x - 12 ] < 0
x < 0
Step 2
now we will solve [ 3 x 2 - 10 x - 12 ] = 0
x = a x 2 + b x + c
a = 3 , b = - 10 and c = - 12
x = - b ± b 2 - 4 a c 2 a
x = 10 ± 100 + 144 6
x = 5 ± 61 3
x < 5 - 61 3
x < 5 + 61 3
The answer is x < 5 - 61 3
x < 5 + 61 3
x < 0

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