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makvit [3.9K]
3 years ago
14

What are the solutions to the equation? x^3 −8 x^2 −x+8=0

Mathematics
1 answer:
postnew [5]3 years ago
6 0

There are 3 solutions I have came up with:

<span><span>1.</span></span><span><span> x = 1</span></span>

<span><span>2. </span><span> x = -1</span></span>

<span><span>3. </span><span> x = 8
</span></span>

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Hitman42 [59]

Answer:

The answer to your question is:

x = 1

y = 1

z = 0

Step-by-step explanation:

                                -2x + 2y + 3z = 0             (1)

                                -2x - y + z = -3                  (2)

                                 2x + 3y + 3z = 5              (3)

Solve (1) and (2)  

Multiply 2 by 2

                                 -2x + 2y + 3z = 0

                                 -4x -2y   + 2z = -6

                                -6x          + 5 z = -6        (4)

Solve (2) and (3)

Multiply 2 by 3

                               -6x - 3y + 3z = -9

                                2x + 3y + 3z = 5

                               -4x         + 6z = -4           (5)

Solve (4) and (5)

Multiply (4) by 2 and (5) by -3

                           -12x    + 10 z = -12

                            12x    -  18z   = 12

                                         -6z = 0

                                          z = 0

Then

            -4x + 6(0) = -4

           -4x = -4

            x = -4/-4

            x = 1

Finally

                 -2(1) - y + (0) = -3      

                -2 - y = -3

                 -y = -3 + 2

                 y = 1  

   

4 0
3 years ago
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