(y^2-11y+28)/(5y^2-60y+160)

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Solution for (y^2-11y+28)/(5y^2-60y+160) equation:


D( y )

5*y^2-(60*y)+160 = 0

5*y^2-(60*y)+160 = 0

5*y^2-(60*y)+160 = 0

5*y^2-60*y+160 = 0

5*y^2-60*y+160 = 0

DELTA = (-60)^2-(4*5*160)

DELTA = 400

DELTA > 0

y = (400^(1/2)+60)/(2*5) or y = (60-400^(1/2))/(2*5)

y = 8 or y = 4

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

(y^2-(11*y)+28)/(5*y^2-(60*y)+160) = 0

(y^2-11*y+28)/(5*y^2-60*y+160) = 0

y^2-11*y+28 = 0

y^2-11*y+28 = 0

DELTA = (-11)^2-(1*4*28)

DELTA = 9

DELTA > 0

y = (9^(1/2)+11)/(1*2) or y = (11-9^(1/2))/(1*2)

y = 7 or y = 4

(y-4)*(y-7) = 0

5*y^2-60*y+160 = 0

5*(y^2-12*y+32) = 0

y^2-12*y+32 = 0

DELTA = (-12)^2-(1*4*32)

DELTA = 16

DELTA > 0

y = (16^(1/2)+12)/(1*2) or y = (12-16^(1/2))/(1*2)

y = 8 or y = 4

5*(y-4)*(y-8) = 0

((y-4)*(y-7))/(5*(y-4)*(y-8)) = 0

( y-4 )

y-4 = 0 // + 4

y = 4

( y-7 )

y-7 = 0 // + 7

y = 7

y in { 4}

y = 7

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