Question

The nature of roots of the quadratic equation x2-4x-1=0 is​

Answer 1

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Answer 2

Answer:

The roots of the given equation will be real and unequal.

Step-by-step explanation:

The nature of the roots of any quadratic equation can be found using the discriminant.

If D>0, the roots will be real and unequal.

If D=0, the roots will be real and equal.

If D<0, the roots will be imaginary.

In this case,

discriminant of the equation

= (-4)²-4(1)(-1)

= 16+4

= 20 > 0

So the roots of the equation will be real and unequal.

Hope this helps!

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