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nignag [31]
3 years ago
8

What are the values of x in the equation x(x+6)=4(x+6)

Mathematics
2 answers:
stiks02 [169]3 years ago
7 0
       x(x + 6) = 4(x + 6)
   x(x) + x(6) = 4(x) + 4(6)
       x² + 6x = 4x + 24
       <u>     - 4x  - 4x        </u>
       x² + 2x = 24
x² + 2x - 24 = 24 - 24
 x² + 2x - 24 = 0
x = <u>-(2) ± √((2)² - 4(1)(-24))</u>
                       2(1)
x = <u>-2 ± √(4 + 96)</u>
               2
x = -<u>2 ± √(100)
</u>             2<u>
</u>x = <u>-2 ± 10
</u>          2
x = -1 ± 5
x = -1 + 5    U    x = -1 - 5
x = 4    U    x = -6
<u />
Gwar [14]3 years ago
5 0
Since both sides has same factor (x+6), we can set (x+6) equal to 0.

So we would have one of solution x = -6. (because this would have us x·0 = 4·0 )

Now when x is NOT equal to -6, we can divide both sides by (x+6), leaving us 

x = 4

So answer is x = -6 or 4.
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Keywords: Linear Equations, Variables

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