2^5x-3=4^1/x

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Solution for 2^5x-3=4^1/x equation:


D( x )

x = 0

x = 0

x = 0

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

2^5*x-3 = (4^1)/x // - (4^1)/x

2^5*x-((4^1)/x)-3 = 0

2^5*x-4*x^-1-3 = 0

32*x^1-4*x^-1-3*x^0 = 0

(32*x^2-3*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(32*x^2-3*x^1-4*x^0) = 0

x^1

32*x^2-3*x-4 = 0

32*x^2-3*x-4 = 0

DELTA = (-3)^2-(-4*4*32)

DELTA = 521

DELTA > 0

x = (521^(1/2)+3)/(2*32) or x = (3-521^(1/2))/(2*32)

x = (521^(1/2)+3)/64 or x = (3-521^(1/2))/64

x in { (3-521^(1/2))/64, (521^(1/2)+3)/64}

x in { (3-521^(1/2))/64, (521^(1/2)+3)/64 }

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