# How do you find the value of the discriminant and determine the nature of the roots #2p^2+5p-4#?

Given:

Note that this is written in standard form:

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To find the discriminant of the quadratic equation (2p^2 + 5p - 4), you use the formula (\Delta = b^2 - 4ac), where (a), (b), and (c) are the coefficients of the quadratic equation in the form (ax^2 + bx + c). In this case, (a = 2), (b = 5), and (c = -4). After finding the discriminant, you can determine the nature of the roots:

- If the discriminant is positive ((\Delta > 0)), the quadratic equation has two distinct real roots.
- If the discriminant is zero ((\Delta = 0)), the quadratic equation has one real root (a repeated root).
- If the discriminant is negative ((\Delta < 0)), the quadratic equation has no real roots (two complex roots).

Calculate the discriminant using the formula, and then determine the nature of the roots based on its value.

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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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