4x-(2916/x^2)=0

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Solution for 4x-(2916/x^2)=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

4*x-(2916/(x^2)) = 0

4*x-2916*x^-2 = 0

4*x^1-2916*x^-2 = 0

(4*x^3-2916*x^0)/(x^2) = 0 // * x^4

x^2*(4*x^3-2916*x^0) = 0

x^2

4*x^3-2916 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 27, -27, 36, -36, 54, -54, 81, -81, 108, -108, 162, -162, 243, -243, 324, -324, 486, -486, 729, -729, 972, -972, 1458, -1458, 2916, -2916 }

1

x = 1

4*x^3-2916 = -2912

1

-1

x = -1

4*x^3-2916 = -2920

-1

2

x = 2

4*x^3-2916 = -2884

2

-2

x = -2

4*x^3-2916 = -2948

-2

3

x = 3

4*x^3-2916 = -2808

3

-3

x = -3

4*x^3-2916 = -3024

-3

4

x = 4

4*x^3-2916 = -2660

4

-4

x = -4

4*x^3-2916 = -3172

-4

6

x = 6

4*x^3-2916 = -2052

6

-6

x = -6

4*x^3-2916 = -3780

-6

9

x = 9

4*x^3-2916 = 0

9

x-9

4*x^2+36*x+324

4*x^3-2916

x-9

36*x^2-4*x^3

36*x^2-2916

324*x-36*x^2

324*x-2916

2916-324*x

0

4*x^2+36*x+324 = 0

DELTA = 36^2-(4*4*324)

DELTA = -3888

DELTA < 0

x in { 9} 

x = 9

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