Question

The roots of quadratic equation 2x2 + x + 4 = 0 are: *

2 points

a)Positive and negative

(b)Both Positive

(c)Both Negative

(d)No real roots

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Answer 1

Answer:

option d is right.........

Answer 2

Given,

The quadratic equation 2x²+x+4 is given.

To find,

We have to find the nature of the roots of the quadratic equation 2x²+x+4.

Solution,

There are no real roots of quadratic equation 2x²+ x + 4 = 0.

We can simply find the nature of roots by using the discriminant formula,

            D = b²-4ac

            D = (1)² - 4(2)(4)

           D = 1-32

           D = -31

Since the discriminant is less than 0 i.e. D<0,

then no real root exists for the quadratic equation 2x²+x+4.

Hence, there are no real roots of quadratic equation 2x²+ x + 4 = 0.