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Blizzard [7]
3 years ago
15

What is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFraction 1 Over c EndFraction = StartFraction 3 Ov

er c (c minus 3) EndFraction?
c = 0 and c = 3
all real numbers
all real numbers, except c ¹ 0 and c ¹ 3
no solution
Advanced Placement (AP)
2 answers:
Bingel [31]3 years ago
4 0

Answer:

  • <u><em>All real numbers except c = 0 and c = 3.</em></u>

Explanation:

The equation is:

   \dfrac{1}{c-3}-\dfrac{1}{c}=\dfrac{3}{c(c-3)}

Since c - 3, c, and c(c - 3) are he denominators, none of them can be equal to zero:

  • c ≠ 0
  • c - 3 ≠ 0 ⇒ c ≠ 3
  • c (c - 3) ≠ 0 ⇒ c ≠ 0 and c ≠ 3.

Now you can multiply both sides of the equation by the common denominator: c (c - 3):

       c-(c-3)=3\\\\c-c+3=3\\\\0=3-3\\\\0=0

That means the equality is valid for all real numbers for which it is defined, which is all real numbers except c = 0 and c = 3.

777dan777 [17]3 years ago
3 0

Answer:

c on edg

Explanation:

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