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zabuxaev
@zabuxaev
July 2022
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решите уравнение (4x^2)^3*(3x^2)^2*(12x)^3*x^5=2736
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iknowthatyoufeelbro
(4x^2)^3*(3x^2)^2*(12x)^3*x^5=2736
_________________________
(4x^2)^3=(2^2*x^2)^3=2^6*x^6
(3x^2)^2=3^2*x^4
(12x)^3=(2^2*3*x)^3=2^6*3^3*x^3
2736=2^4*3^2*19
____________________________
2^6*x^6 * 3^2*x^4 * 2^6*3^3*x^3 * x^5 = 2^12 * 3^5 * x^18
2^12 * 3^5 * x^18 = 2^4*3^2*19
2^8 * 3^3 * x^18 = 19
x^18 = 19 / (2^8 * 3^3)
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Answers & Comments
_________________________
(4x^2)^3=(2^2*x^2)^3=2^6*x^6
(3x^2)^2=3^2*x^4
(12x)^3=(2^2*3*x)^3=2^6*3^3*x^3
2736=2^4*3^2*19
____________________________
2^6*x^6 * 3^2*x^4 * 2^6*3^3*x^3 * x^5 = 2^12 * 3^5 * x^18
2^12 * 3^5 * x^18 = 2^4*3^2*19
2^8 * 3^3 * x^18 = 19
x^18 = 19 / (2^8 * 3^3)