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Tyrant4life
19.07.2019 •
Mathematics
How do you solve basic quadratic equations, using the "completing the square" method. i know how to use the quadratic formula but don't know how to solve by completing the square.
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Ответ:
first off, we start by grouping the terms with "x".
80 = (x² - 16x)
80 = (x² - 16x + [?]²) <--- we have a missing fellow.
so, the idea being, we need "some value" to get our perfect square trinomial, hmmm what could that be?
well, the tell-tale guy is the middle term, we know that 2(√ guy on the left)(√ guy on the right) is the middle term.
we know the square root of the (√x²) is just "x", and the guy on the right is [?], but we also know that if we multiply 2 times both we get 16x, so
aha! there's our missing fellow, so we need to add 8².
however, bear in mind, all we're doing is borrowing from our very good friend Mr Zero, 0.
so if we add 8², we also have to subtract 8².
Ответ:
Vertical asymptotes: x = -6,6
Horizontal asymptotes: y = 0
Step-by-step explanation: Not sure