How do you find the roots for #x^2 – 14x – 32 = 0#?
In an equation of the following form
the method to find the roots is:
Example:
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There are several methods we could use. Here's one.
So, if the signs work out, we can factor.
Thus, we need
The solutions are:
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To find the roots of (x^2 - 14x - 32 = 0), use the quadratic formula:
[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}]
Where (a = 1), (b = -14), and (c = -32).
Substitute these values into the formula and solve for (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.
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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