4x-7/x+8

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Solution for 4x-7/x+8 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(7/x)+8 = 0

4*x-7*x^-1+8 = 0

4*x^1-7*x^-1+8*x^0 = 0

(4*x^2+8*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2+8*x^1-7*x^0) = 0

x^1

4*x^2+8*x-7 = 0

4*x^2+8*x-7 = 0

DELTA = 8^2-(-7*4*4)

DELTA = 176

DELTA > 0

x = (176^(1/2)-8)/(2*4) or x = (-176^(1/2)-8)/(2*4)

x = (4*11^(1/2)-8)/8 or x = (-4*11^(1/2)-8)/8

x in { (-4*11^(1/2)-8)/8, (4*11^(1/2)-8)/8} 

x in { (-4*11^(1/2)-8)/8, (4*11^(1/2)-8)/8 }

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