Solve the quadratic equations x2+x+1=0

Given:

x<sup>2</sup>+x+1=0

Using the formula:

[latex]x=frac{-bpm sqrt{b^{2}-4ac}}{2a}[/latex]

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

[latex]x=frac{-1pm sqrt{1^{2}-4.1.1}}{2.1}[/latex] [latex]x=frac{-1pm sqrt{-3}}{2}[/latex]

We know that the square root of a negative number is not a real number.

Therefore, no real solutions since the discriminant is negative, that is, d = -3

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