Question

find the discriminant for the following equation 2 X square + X - 4 = 0​

Answer 1

Answer:

For the polynomial : 2x^2+x-4

D=b^2-4ac

D=(1)^2-4(2)(-4)

D=1+32

D=33

Thanku

Answer 2

Answer:

The given quadratic equation:

2x^2+x+4=02x

2

+x+4=0

Here, a = 2, b = 1 and c = 4

To find, the discriminant of the given quadratic equation = ? and

The nature of ithe roots of quadratic equation = ?

∴ Discriminant, D = b^{2}b

2

- 4ac

= 1^{2}1

2

- 4(2)(4)

= 1 - 32

= - 31

∵ D < 0, There is no real roots of quadratic equation.

Thus, the discriminant of the given quadratic equation = - 31 and the quadratic equation has no real roots.