Question

Write the nature of roots of x2

+ x + 1 = 0.​

Answer 1

Answer:imaginary roots

Step-by-step explanation:as we know that if b^2-4ac<0 then the roots are imaginary

So putting the values in b^2b^2-4ac we get

1-4×4×1

= -3

So, the roots are imaginary

Answer 2

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${b}^{2} - 4ac = discriminant .. .........(1)\\ \\ a = 1 \\ \\ b = 1 \\ c = 1 \\ \\ putting \: these \: values \: in \: (1) \\ \\ {1}^{2} - 4 \times 1 \times 1 \\ \\ 1 - 4 \\ \\ - 3 < 0$

so,

this equation have two imaginary roots.

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hops this may help you

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