# The roots of the quadratic #2x^2+3x-1=0# are #alpha# and #beta#. Without calculating the roots, find #alpha^3+beta^3#?

# alpha^3 + beta^3 = -45/8 #

Suppose the roots of the general quadratic equation:

we know that:

Consider the binomial expression:

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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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