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allochka39001 [22]
3 years ago
13

(x-27)^2-(x-3)^2=3x-25

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

{(x - 27)}^{2}  -  {(x - 3)}^{2}  = 3x - 25 \\  \\ (x - 27)(x - 27) - (x - 3)(x - 3) = 3x - 25 \\  \\ ( {x}^{2}  - 54x + 729) - ( {x}^{2}  - 6x + 9) = 3x - 25 \\  \\ ( {x}^{2}  - 54x + 729) + ( -  {x}^{2}  + 6x - 9) = 3x - 25 \\  \\  - 48x + 720 = 3x - 25 \\  \\ 3x + 48x = 720 + 25 \\  \\ 51x = 745 \\  \\ x =  \frac{745}{51}  \\  \\ x = 14.6

I hope I helped you^_^

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