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:

$3x ^ 2 - mx + 7 = 0$

The polynomial has no real solutions when it is met:

$b ^ 2 - 4ac$

Substituting values we have:

$(-m) ^ 2 - 4 (3) (7)$

Rewriting we have:

$m ^ 2 - 84$

Clearing the value of m we have:

$m ^ 2$

$m$

$m$

$m$

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

$m = 9$

Answer:

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

$m = 9$