2-x/((x^2-300)^1/2)

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Solution for 2-x/((x^2-300)^1/2) equation:


D( x )

((x^2-300)^1)/2 = 0

((x^2-300)^1)/2 = 0

((x^2-300)^1)/2 = 0

(x^2-300)/2 = 0

1*x^2 = 300 // : 1

x^2 = 300

x^2 = 300 // ^ 1/2

abs(x) = 10*3^(1/2)

x = 10*3^(1/2) or x = -(10*3^(1/2))

x in (-oo:-(10*3^(1/2))) U (-(10*3^(1/2)):10*3^(1/2)) U (10*3^(1/2):+oo)

2-(x/(((x^2-300)^1)/2)) = 0

2-2*x*(x^2-300)^-1 = 0

(-2*x)/(x^2-300)+2 = 0

(-2*x)/(x^2-300)+(2*(x^2-300))/(x^2-300) = 0

2*(x^2-300)-2*x = 0

2*x^2-2*x-600 = 0

2*x^2-2*x-600 = 0

2*(x^2-x-300) = 0

x^2-x-300 = 0

DELTA = (-1)^2-(-300*1*4)

DELTA = 1201

DELTA > 0

x = (1201^(1/2)+1)/(1*2) or x = (1-1201^(1/2))/(1*2)

x = (1201^(1/2)+1)/2 or x = (1-1201^(1/2))/2

2*(x-((1-1201^(1/2))/2))*(x-((1201^(1/2)+1)/2)) = 0

(2*(x-((1-1201^(1/2))/2))*(x-((1201^(1/2)+1)/2)))/(x^2-300) = 0

(2*(x-((1-1201^(1/2))/2))*(x-((1201^(1/2)+1)/2)))/(x^2-300) = 0 // * x^2-300

2*(x-((1-1201^(1/2))/2))*(x-((1201^(1/2)+1)/2)) = 0

( x-((1-1201^(1/2))/2) )

x-((1-1201^(1/2))/2) = 0 // + (1-1201^(1/2))/2

x = (1-1201^(1/2))/2

( x-((1201^(1/2)+1)/2) )

x-((1201^(1/2)+1)/2) = 0 // + (1201^(1/2)+1)/2

x = (1201^(1/2)+1)/2

x in { (1-1201^(1/2))/2, (1201^(1/2)+1)/2 }

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