(4x^4-49)/(x^2-x-56)

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Solution for (4x^4-49)/(x^2-x-56) equation: 


D( x )

x^2-x-56 = 0

x^2-x-56 = 0

x^2-x-56 = 0

x^2-x-56 = 0

DELTA = (-1)^2-(-56*1*4)

DELTA = 225

DELTA > 0

x = (225^(1/2)+1)/(1*2) or x = (1-225^(1/2))/(1*2)

x = 8 or x = -7

x in (-oo:-7) U (-7:8) U (8:+oo)

(4*x^4-49)/(x^2-x-56) = 0

x^2-x-56 = 0

x^2-x-56 = 0

DELTA = (-1)^2-(-56*1*4)

DELTA = 225

DELTA > 0

x = (225^(1/2)+1)/(1*2) or x = (1-225^(1/2))/(1*2)

x = 8 or x = -7

(x+7)*(x-8) = 0

(4*x^4-49)/((x+7)*(x-8)) = 0

4*x^4 = 49 // : 4

x^4 = 49/4

x^4 = 49/4 // ^ 1/4

abs(x) = (49/4)^(1/4)

x = (49/4)^(1/4) or x = -(49/4)^(1/4)

x in { (49/4)^(1/4), -(49/4)^(1/4) }

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