# How do you find the discriminant and how many solutions does ## have?

The discriminant reveals what type of roots the equation has. Note: b^2 – 4ac comes from the quadratic formula.

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To find the discriminant of a quadratic equation in the form ax^2 + bx + c = 0, the formula is b^2 - 4ac. Once you calculate the discriminant, you can determine the number of solutions the quadratic equation has based on its value:

- If the discriminant is positive (greater than 0), the quadratic equation has two distinct real solutions.
- If the discriminant is zero, the quadratic equation has one real solution (a repeated root).
- If the discriminant is negative (less than 0), the quadratic equation has no real solutions, but it may have complex solutions.

So, by calculating the discriminant and analyzing its value, you can determine the number of solutions the quadratic equation has.

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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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