Question

Find the discriminant of a quadratic equation: 1/2x2-3x+5

Answer 1

a=1/2,b= -3 and c=5

D = b^2-4ac=(-3)^2+4(1/2)(5)
=9+10=19

Hence,the discriminant of above equation is 19

Answer 2

Answer:

The discriminant of given quadratic equation is -1.

Step-by-step explanation:

The given quadratic equation is

$P(x)=\frac{1}{2}x^2-3x+5$           .... (1)

The general form of a quadratic equation is

$f(x)=ax^2+bx+c$                         ..... (2)

The discriminant of the quadratic equation is

$D=b^2-4ac$

On comparing (1) and (2), we get

$a=\frac{1}{2}, b=-3, c=5$

The discriminant of given quadratic equation is

$D=(-3)^2-4(\frac{1}{2})(5)$

$D=9-10$

$D=-1$

Therefore the discriminant of given quadratic equation is -1.