# How do you solve #x^2+x+1>0 #?

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To solve the inequality x^2 + x + 1 > 0, you can use various methods such as factoring, completing the square, or the quadratic formula. However, in this case, since the quadratic expression does not factor nicely and the discriminant is less than zero, indicating that the quadratic equation does not have real roots, we can conclude that the inequality x^2 + x + 1 > 0 holds true for all real values of x.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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