Question

X 5
___+___= 12
X -3 X + 3

Answer 1

Ola

x/(x - 3) + 5/(x + 3) = 12

x*(x + 3) + 5*(x - 3) = 12*(x + 3)*(x - 3)

x² + 3x + 5x - 15 = 12x² - 108 

11x² - 8x - 93 = 0 

delta
d² = 64 + 44*93 = 4156
d = 2√1039 

x1 = (8 + 2√1039)/22 = (4 + √1039)/11
x2 = (8 - 2√1039)/22 = (4 - √1039)/11

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