How do you solve #4x^2 - 17x - 15 = 0# by factoring?
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To solve (4x^2 - 17x - 15 = 0) by factoring, you need to find two numbers that multiply to give you (4 \times -15 = -60) and add to give you (-17). The numbers are (-20) and (3). Rewrite the middle term using these numbers: (4x^2 - 20x + 3x - 15 = 0). Factor by grouping: (4x(x - 5) + 3(x - 5) = 0). Factor out the common factor: ((4x + 3)(x - 5) = 0). Set each factor equal to zero and solve for (x): (4x + 3 = 0) and (x - 5 = 0). The solutions are (x = -\frac{3}{4}) and (x = 5).
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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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