(3x^2+14x-89)/(x^2+4x-21)

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Solution for (3x^2+14x-89)/(x^2+4x-21) equation:


D( x )

x^2+4*x-21 = 0

x^2+4*x-21 = 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 = (-100^(1/2)-4)/(1*2)

x = 3 or x = -7

x in (-oo:-7) U (-7:3) U (3:+oo)

(3*x^2+14*x-89)/(x^2+4*x-21) = 0

3*x^2+14*x-89 = 0

3*x^2+14*x-89 = 0

DELTA = 14^2-(-89*3*4)

DELTA = 1264

DELTA > 0

x = (1264^(1/2)-14)/(2*3) or x = (-1264^(1/2)-14)/(2*3)

x = (4*79^(1/2)-14)/6 or x = (-4*79^(1/2)-14)/6

(x-((-4*79^(1/2)-14)/6))*(x-((4*79^(1/2)-14)/6)) = 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 = (-100^(1/2)-4)/(1*2)

x = 3 or x = -7

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

((x-((-4*79^(1/2)-14)/6))*(x-((4*79^(1/2)-14)/6)))/((x+7)*(x-3)) = 0

( x-((-4*79^(1/2)-14)/6) )

x-((-4*79^(1/2)-14)/6) = 0 // + (-4*79^(1/2)-14)/6

x = (-4*79^(1/2)-14)/6

( x-((4*79^(1/2)-14)/6) )

x-((4*79^(1/2)-14)/6) = 0 // + (4*79^(1/2)-14)/6

x = (4*79^(1/2)-14)/6

x in { (-4*79^(1/2)-14)/6, (4*79^(1/2)-14)/6 }

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