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Alex787 [66]
3 years ago
5

What is the quotient of (x^3+7x^2+7x-6) ÷ (x-2)?

Mathematics
1 answer:
valina [46]3 years ago
3 0

x^2 +9x +25 + 44/x-2

Step-by-step explanation:


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If α , β are roots of x2 + 5x + a =0 and 2α + 5β = -1 then α is equal to _____?
ELEN [110]

9514 1404 393

Answer:

  -8

Step-by-step explanation:

If α and β are roots of x^2 +5x +a = 0, then we must have ...

  (x -α)(x -β) = x^2 +5x +a

  x^2 -(α+b)x +αβ = x^2 +5x +a

Then ...

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Together with the other relation between the roots, we have a system of equations in α and β.

Using the above to write an expression for β, we get ...

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Substituting this into the given relation, we have an equation for α:

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  -3α -25 = -1 . . . . . . eliminate parentheses

  -24 = 3α . . . . . . . . add 3α +1

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The root α is equal to -8.

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4 years ago
Write and equation of the line that contains the points below.<br><br> (0, 3) and (-6, -3)
mojhsa [17]

Answer:

y = x + 3

Step-by-step explanation:

The image below shows proof that y = x + 3 is the equation of the line that contains the points (0, 3) and (-6, -3).

Hope this helps! :)

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