3.2/x=7.5/x^2

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Solution for 3.2/x=7.5/x^2 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

3.2/x = 7.5/(x^2) // - 7.5/(x^2)

3.2/x-(7.5/(x^2)) = 0

3.2/x-7.5*x^-2 = 0

3.2*x^-1-7.5*x^-2 = 0

t_1 = x^-1

3.2*t_1^1-7.5*t_1^2 = 0

3.2*t_1-7.5*t_1^2 = 0

DELTA = 3.2^2-(-7.5*0*4)

DELTA = 3.2^2

DELTA = 10.24

DELTA > 0

t_1 = ((3.2^2)^(1/2)-3.2)/(-7.5*2) or t_1 = (-(3.2^2)^(1/2)-3.2)/(-7.5*2)

t_1 = 0 or t_1 = 0.42666667

t_1 = 0

x^-1+0 = 0

x^-1 = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x naleu017Cy do O

t_1 = 0.42666667

x^-1-0.42666667 = 0

1*x^-1 = 0.42666667 // : 1

x^-1 = 0.42666667

-1 < 0

1/(x^1) = 0.42666667 // * x^1

1 = 0.42666667*x^1 // : 0.42666667

2.34374998 = x^1

x = 2.34374998

x = 2.34374998

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