1/4x^4-2x^2-5=3x-15/4

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Solution for 1/4x^4-2x^2-5=3x-15/4 equation: 


x in (-oo:+oo)

(1/4)*x^4-(2*x^2)-5 = 3*x-(15/4) // - 3*x-(15/4)

(1/4)*x^4-(2*x^2)-(3*x)+15/4-5 = 0

(1/4)*x^4-2*x^2-3*x+15/4-5 = 0

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

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

{ 1, -1, 5, -5 }

1

x = 1

x^4-8*x^2-12*x-5 = -24

1

-1

x = -1

x^4-8*x^2-12*x-5 = 0

-1

x+1

x^3-x^2-7*x-5

x^4-8*x^2-12*x-5

x+1

-x^4-x^3

-x^3-8*x^2-12*x-5

x^3+x^2

-7*x^2-12*x-5

7*x^2+7*x

-5*x-5

5*x+5

0

x^3-x^2-7*x-5 = 0

{ 1, -1, 5, -5 }

1

x = 1

x^3-x^2-7*x-5 = -12

1

-1

x = -1

x^3-x^2-7*x-5 = 0

-1

x+1

x^2-2*x-5

x^3-x^2-7*x-5

x+1

-x^3-x^2

-2*x^2-7*x-5

2*x^2+2*x

-5*x-5

5*x+5

0

x^2-2*x-5 = 0

DELTA = (-2)^2-(-5*1*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)+2)/(1*2) or x = (2-24^(1/2))/(1*2)

x = (2*6^(1/2)+2)/2 or x = (2-2*6^(1/2))/2

x in { (2-2*6^(1/2))/2, (2*6^(1/2)+2)/2, -1, -1} 

x in { (2-2*6^(1/2))/2, (2*6^(1/2)+2)/2, -1, -1 }

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