Question

What is the nature of roots
of
the quadratic equation
2x²-3x - 4 =0 ?​

Answer 1

Answer:

Nature of roots of quadratic equation will be: Real and distinct.

Step-by-step explanation:

The given quadratic equation: 2x²-3x-4=0

comparing with the general form of the quadratic equation: ax²+bx+c=0, We have,

a= 2 , b= -3 , c= -4.

Now,

The discriminant of the given quadratic equation will be given as:

D=b²-4ac

D=(-3)²-4×2×(-4)

D=9+32

D=41

D>0

Clearly,

The discriminant of the given quadratic equation is greater than zero.

Thus, it's roots will be real and distinct.

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