Question

-2x^2+5x-4=0 , find the discriminant

Answer 1

The discriminant is -7

Explanation:

The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:

`b^2 -4ac`

Here

b is the co-efficient of x

a is the co-efficient of x^2

and c is the constant

Given equation is:

`-2x^2+5x-4=0`

Here

a = -2

b = 5

c = -4

Putting the values in the formula for discriminant

`= b^2 - 4ac\\= (5)^2 - 4(-2)(-4)\\= 25 - 32\\=-7`

As the discriminant is negative, the equation has no real solution.

Hence,

The discriminant is -7