(x^2-4x-21)/(x^2-36)

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Solution for (x^2-4x-21)/(x^2-36) equation: 


D( x )

x^2-36 = 0

x^2-36 = 0

x^2-36 = 0

1*x^2 = 36 // : 1

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

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

(x^2-(4*x)-21)/(x^2-36) = 0

(x^2-4*x-21)/(x^2-36) = 0

x^2-4*x-21 = 0

x^2-4*x-21 = 0

DELTA = (-4)^2-(-21*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+4)/(1*2) or x = (4-100^(1/2))/(1*2)

x = 7 or x = -3

(x+3)*(x-7) = 0

((x+3)*(x-7))/(x^2-36) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -3, 7 }

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