(7x^2-175)/(56x^2-56x-1680)

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Solution for (7x^2-175)/(56x^2-56x-1680) equation:


D( x )

56*x^2-(56*x)-1680 = 0

56*x^2-(56*x)-1680 = 0

56*x^2-(56*x)-1680 = 0

56*x^2-56*x-1680 = 0

56*x^2-56*x-1680 = 0

DELTA = (-56)^2-(-1680*4*56)

DELTA = 379456

DELTA > 0

x = (379456^(1/2)+56)/(2*56) or x = (56-379456^(1/2))/(2*56)

x = 6 or x = -5

x in (-oo:-5) U (-5:6) U (6:+oo)

(7*x^2-175)/(56*x^2-(56*x)-1680) = 0

(7*x^2-175)/(56*x^2-56*x-1680) = 0

56*x^2-56*x-1680 = 0

56*(x^2-x-30) = 0

x^2-x-30 = 0

DELTA = (-1)^2-(-30*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)+1)/(1*2) or x = (1-121^(1/2))/(1*2)

x = 6 or x = -5

56*(x+5)*(x-6) = 0

(7*x^2-175)/(56*(x+5)*(x-6)) = 0

7*x^2 = 175 // : 7

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

x in { -5}

x = 5

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