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aliya0001 [1]
3 years ago
7

Solve the rational equation

Mathematics
2 answers:
joja [24]3 years ago
7 0

Answer:

the answer is x=2

hope this helped!!

nikdorinn [45]3 years ago
6 0

Answer:

C.) x = 2

Step-by-step explanation:

\frac{1}{x - 4}  =  \frac{7}{ {x}^{2}  + x - 20}  \\  \\  {x}^{2}  + x - 20 = 7x - 28 \\  {x}^{2}  + x - 7x = 20 - 28 \\  {x}^{2}  - 6x =  - 8 \\  {x}^{2}  - 6x + 8 = 0 \\  {x}^{2}  - 4x - 2x + 8 = 0 \\ x(x - 4) - 2(x - 4) = 0 \\ (x - 2)(x - 4) = 0 \\ x = 2 \:  \:  \:  \:  \: or \:  \:  \:  \: x = 4

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