Question

What is the largest positive integer value of $m$ such that the equation $$3x^2 - mx + 7 = 0$$has no real solutions?

Answer 1

For this case we have the following polynomial:

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The polynomial has no real solutions when it is met:

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Substituting values we have:

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Rewriting we have:

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Clearing the value of m we have:

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`m <2√(21)`

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Then, the value of the largest positive integer for which the equation has no real solution is:

`image`

Answer:

The largest positive integer value of that is the equation has no real solutions is:

`m = 9`