(X^2-7x+12)/(4x^2+16x-128)

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Solution for (X^2-7x+12)/(4x^2+16x-128) equation:


D( x )

4*x^2+16*x-128 = 0

4*x^2+16*x-128 = 0

4*x^2+16*x-128 = 0

4*x^2+16*x-128 = 0

DELTA = 16^2-(-128*4*4)

DELTA = 2304

DELTA > 0

x = (2304^(1/2)-16)/(2*4) or x = (-2304^(1/2)-16)/(2*4)

x = 4 or x = -8

x in (-oo:-8) U (-8:4) U (4:+oo)

(X^2-(7*x)+12)/(4*x^2+16*x-128) = 0

(X^2-7*x+12)/(4*x^2+16*x-128) = 0

4*x^2+16*x-128 = 0

4*(x^2+4*x-32) = 0

x^2+4*x-32 = 0

DELTA = 4^2-(-32*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)-4)/(1*2) or x = (-144^(1/2)-4)/(1*2)

x = 4 or x = -8

4*(x+8)*(x-4) = 0

(X^2-7*x+12)/(4*(x+8)*(x-4)) = 0

X^2-7*x+12 = 0 // - X^2+12

-7*x = -(X^2+12) // : -7

x = (-(X^2+12))/(-7)

x = (X^2+12)/7

x = (X^2+12)/7

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