Answer
None
Work Step by Step
The discriminant decides how many real number solutions there are.
$D = b^2 - 4ac$
If D is positive, there are 2 real number solution. If D is negative, there are 0 real number solutins. If D is 0, there is 1 real number solution.
The equation of a quadratic equation is $ax^2 + bx + c = 0$.
Here, $a = 2$, $b = 7$, and $c=9$. Plug that into the equation for the discriminant
$D = 49 - 4*2*9$
$D = 49 - 72$
$D = -23$
D is negative, so there are no real number solutions.
