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Find the roots of the each of the following equations, if they exist, by applying the quadratic formula: $x^{2}+x+2=0$.
Find the roots of the each of the following equations, if they exist, by applying the quadratic formula: $x^{2}+x+2=0$.
CBSE | Class 10 | Exercise 10C | Maths | Quadratic Equations | RS Aggarwal
Find the roots of the each of the following equations, if they exist, by applying the quadratic formula: $x^{2}+x+2=0$.

The given equation is $x^{2}+x+2=0$

Comparing it with $a x^{2}+b x+c=0$, we get
$a=1, b=1$ and $c=2$

$\therefore$ Discriminant $D=b^{2}-4 a c=1^{2}-4 \times 1 \times 2=1-8=-7<0$

Hence, the given equation has no real roots (or real roots does not exist).

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