63x-32=63/x

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Solution for 63x-32=63/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

63*x-32 = 63/x // - 63/x

63*x-(63/x)-32 = 0

63*x-63*x^-1-32 = 0

63*x^1-63*x^-1-32*x^0 = 0

(63*x^2-32*x^1-63*x^0)/(x^1) = 0 // * x^2

x^1*(63*x^2-32*x^1-63*x^0) = 0

x^1

63*x^2-32*x-63 = 0

63*x^2-32*x-63 = 0

DELTA = (-32)^2-(-63*4*63)

DELTA = 16900

DELTA > 0

x = (16900^(1/2)+32)/(2*63) or x = (32-16900^(1/2))/(2*63)

x = 9/7 or x = -7/9

x in { -7/9, 9/7} 

x in { -7/9, 9/7 }

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