15/2(-7x^4+8x^2-1)

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Solution for 15/2(-7x^4+8x^2-1) equation: 


x in (-oo:+oo)

(15/2)*(8*x^2-7*x^4-1) = 0

15/2*(8*x^2-7*x^4-1) = 0

8*x^2-7*x^4-1 = 0

8*x^2-7*x^4-1 = 0

{ 1, -1 }

1

x = 1

8*x^2-7*x^4-1 = 0

1

x-1

x-7*x^3-7*x^2+1

8*x^2-7*x^4-1

x-1

7*x^4-7*x^3

8*x^2-7*x^3-1

7*x^3-7*x^2

x^2-1

x-x^2

x-1

1-x

0

x-7*x^3-7*x^2+1 = 0

{ 1, -1 }

1

x = 1

x-7*x^3-7*x^2+1 = -12

1

-1

x = -1

x-7*x^3-7*x^2+1 = 0

-1

x+1

1-7*x^2

x-7*x^3-7*x^2+1

x+1

7*x^3+7*x^2

x+1

-x-1

0

1-7*x^2 = 0

DELTA = 0^2-(-7*1*4)

DELTA = 28

DELTA > 0

x = (28^(1/2)+0)/(-7*2) or x = (0-28^(1/2))/(-7*2)

x = (-7^(1/2))/7 or x = (1*7^(1/2))/7

x in { (-7^(1/2))/7, (1*7^(1/2))/7, 1, -1} 

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

15/2*(x-((-7^(1/2))/7))*(x+(-7^(1/2))/7)*(x-1)*(x+1) = 0

( x+(-7^(1/2))/7 )

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

x = -((-7^(1/2))/7)

( x+1 )

x+1 = 0 // - 1

x = -1

( x-((-7^(1/2))/7) )

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

x = (-7^(1/2))/7

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -((-7^(1/2))/7), -1, (-7^(1/2))/7, 1 }

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