What are the values of x in the equation x(x+6)=4(x+6)
2 answers:
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 />
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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