How to use the discriminant to find out what type of solutions the equation has for #x^2 + 25 = 0#?
The discriminant equals -100. Therefore the equation has 0 solutions.
The discriminant is
Therefore the discriminant is -100. This means that the equation has 0 solutions.
The solution type for this question is such that it belongs to the 'Complex' number set of values.
The graph does NOT cross the x-axis
Consider the standardised form of
The formula is
The determinate is the part
Write the given equation as:
In this case:
So the determinate
so we end up with
As this is negative we have a complex number solution.