SOLUTION: At what value of x does 4x eventually exceed 7x2 + 8x + 2?

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Question 1100191: At what value of x does 4x eventually exceed 7x2 + 8x + 2?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
4x%3E=7x%5E2%2B8x%2B2


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7x%5E2%2B3x%2B2%3C=0

graph%28400%2C400%2C-8%2C8%2C-8%2C8%2C4x%2C7x%5E2%2B8x%2B2%29

discriminant, 3%5E2-4%2A7%2A2=9-84=-75%3C0

The line exceeds the parabola for NO value of x.
(Note also the value of the discriminant for the inequality is negative).