Answer:
The discriminant is -7
Step-by-step explanation:
The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:
[tex]b^2 -4ac[/tex]
Here
b is the co-efficient of x
a is the co-efficient of x^2
and c is the constant
Given equation is:
[tex]-2x^2+5x-4=0[/tex]
Here
a = -2
b = 5
c = -4
Putting the values in the formula for discriminant
[tex]= b^2 - 4ac\\= (5)^2 - 4(-2)(-4)\\= 25 - 32\\=-7[/tex]
As the discriminant is negative, the equation has no real solution.
Hence,
The discriminant is -7
