Question

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

Answer 1

Answer:

The discriminant is -7

Step-by-step 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