(x^2-8+7)/(x^2+3x-4)*(x^2+3x-10)/(x^2-9x+14)

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Solution for (x^2-8+7)/(x^2+3x-4)*(x^2+3x-10)/(x^2-9x+14) equation:


D( x )

x^2-(9*x)+14 = 0

x^2+3*x-4 = 0

x^2-(9*x)+14 = 0

x^2-(9*x)+14 = 0

x^2-9*x+14 = 0

x^2-9*x+14 = 0

DELTA = (-9)^2-(1*4*14)

DELTA = 25

DELTA > 0

x = (25^(1/2)+9)/(1*2) or x = (9-25^(1/2))/(1*2)

x = 7 or x = 2

x^2+3*x-4 = 0

x^2+3*x-4 = 0

x^2+3*x-4 = 0

DELTA = 3^2-(-4*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-3)/(1*2) or x = (-25^(1/2)-3)/(1*2)

x = 1 or x = -4

x in (-oo:-4) U (-4:1) U (1:2) U (2:7) U (7:+oo)

(((x^2-8+7)/(x^2+3*x-4))*(x^2+3*x-10))/(x^2-(9*x)+14) = 0

(((x^2-8+7)/(x^2+3*x-4))*(x^2+3*x-10))/(x^2-9*x+14) = 0

((x^2-1)*(x^2+3*x-10))/((x^2+3*x-4)*(x^2-9*x+14)) = 0

x^2+3*x-4 = 0

x^2+3*x-4 = 0

DELTA = 3^2-(-4*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-3)/(1*2) or x = (-25^(1/2)-3)/(1*2)

x = 1 or x = -4

(x+4)*(x-1) = 0

x^2+3*x-10 = 0

x^2+3*x-10 = 0

DELTA = 3^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-3)/(1*2) or x = (-49^(1/2)-3)/(1*2)

x = 2 or x = -5

(x+5)*(x-2) = 0

x^2-9*x+14 = 0

x^2-9*x+14 = 0

DELTA = (-9)^2-(1*4*14)

DELTA = 25

DELTA > 0

x = (25^(1/2)+9)/(1*2) or x = (9-25^(1/2))/(1*2)

x = 7 or x = 2

(x-2)*(x-7) = 0

((x^2-1)*(x+5)*(x-2))/((x+4)*(x-1)*(x-2)*(x-7)) = 0

( x+5 )

x+5 = 0 // - 5

x = -5

( x-2 )

x-2 = 0 // + 2

x = 2

( x^2-1 )

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 2}

x in { 1}

x in { -5, -1 }

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