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zmey [24]
3 years ago
8

Solve: x(squared) = 5x - 6

Mathematics
1 answer:
icang [17]3 years ago
7 0

Answer:

x=-3   x=-2

Step-by-step explanation:

x^2 = 5x-6

Subtract x^2 from each side

x^2 - x^2 = -x^2 -5x-6

0 = -x^2 -5x-6

0 =-(x^2 +5x+6)

Factor

0 = (x+3)(x+2)

Using the zero product property

0=x+3   0=x+2

x=-3   x=-2

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Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

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Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


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Multiply him by the root and sum with the next coeficient


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2 | -3 -2 -1 -2

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Do the same


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The same,


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2 | -3 -2 -1 -2

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Now you just need to put the "x" after all these numbers with one exponent less, see


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You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


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(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

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