(-8^4-7x^2+4x+13)/(-x^2-2)

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Solution for (-8^4-7x^2+4x+13)/(-x^2-2) equation: 


D( x )

(-x)^2-2 = 0

(-x)^2-2 = 0

(-x)^2-2 = 0

1*x^2 = 2 // : 1

x^2 = 2

x^2 = 2 // ^ 1/2

abs(x) = 2^(1/2)

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

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

(4*x-(7*x^2)+(-8)^4+13)/((-x)^2-2) = 0

(4*x-7*x^2+(-8)^4+13)/((-x)^2-2) = 0

(4*x-7*x^2+4109)/(x^2-2) = 0

4*x-7*x^2+4109 = 0

4*x-7*x^2+4109 = 0

DELTA = 4^2-(-7*4*4109)

DELTA = 115068

DELTA > 0

x = (115068^(1/2)-4)/(-7*2) or x = (-115068^(1/2)-4)/(-7*2)

x = (2*28767^(1/2)-4)/(-14) or x = (-2*28767^(1/2)-4)/(-14)

(x-((2*28767^(1/2)-4)/(-14)))*(x-((-2*28767^(1/2)-4)/(-14))) = 0

((x-((2*28767^(1/2)-4)/(-14)))*(x-((-2*28767^(1/2)-4)/(-14))))/(x^2-2) = 0

( x-((-2*28767^(1/2)-4)/(-14)) )

x-((-2*28767^(1/2)-4)/(-14)) = 0 // + (-2*28767^(1/2)-4)/(-14)

x = (-2*28767^(1/2)-4)/(-14)

( x-((2*28767^(1/2)-4)/(-14)) )

x-((2*28767^(1/2)-4)/(-14)) = 0 // + (2*28767^(1/2)-4)/(-14)

x = (2*28767^(1/2)-4)/(-14)

x in { (-2*28767^(1/2)-4)/(-14), (2*28767^(1/2)-4)/(-14) }

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