The quadratic equation has ................. roots.

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Solution

Q.
The quadratic equation $x^{2} + x + 1 = 0$ has ................. roots.

1 real and equal

2 irrational

3 real and distinct

4 not-real

Ans.
(4)

Given equation is $x^{2} + x + 1 = 0$

Where $a = 1,$ $b = 1,$ $c = 1$

$D = b^{2} - 4 a c = {(1)}^{2} - 4 \times 1 \times 1$

$\Rightarrow D = - 3$

Where $D < 0$

When $D < 0$ roots are not-real.

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