(8y^2-2y-7)/(2y-2)

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Solution for (8y^2-2y-7)/(2y-2) equation:


D( y )

2*y-2 = 0

2*y-2 = 0

2*y-2 = 0

2*y-2 = 0 // + 2

2*y = 2 // : 2

y = 2/2

y = 1

y in (-oo:1) U (1:+oo)

(8*y^2-(2*y)-7)/(2*y-2) = 0

(8*y^2-2*y-7)/(2*y-2) = 0

8*y^2-2*y-7 = 0

8*y^2-2*y-7 = 0

DELTA = (-2)^2-(-7*4*8)

DELTA = 228

DELTA > 0

y = (228^(1/2)+2)/(2*8) or y = (2-228^(1/2))/(2*8)

y = (2*57^(1/2)+2)/16 or y = (2-2*57^(1/2))/16

(y-((2-2*57^(1/2))/16))*(y-((2*57^(1/2)+2)/16)) = 0

((y-((2-2*57^(1/2))/16))*(y-((2*57^(1/2)+2)/16)))/(2*y-2) = 0

( y-((2*57^(1/2)+2)/16) )

y-((2*57^(1/2)+2)/16) = 0 // + (2*57^(1/2)+2)/16

y = (2*57^(1/2)+2)/16

( y-((2-2*57^(1/2))/16) )

y-((2-2*57^(1/2))/16) = 0 // + (2-2*57^(1/2))/16

y = (2-2*57^(1/2))/16

y in { (2*57^(1/2)+2)/16, (2-2*57^(1/2))/16 }

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