(8k2+55k-75)/(k-8)

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Solution for (8k2+55k-75)/(k-8) equation: 


D( k )

k-8 = 0

k-8 = 0

k-8 = 0

k-8 = 0 // + 8

k = 8

k in (-oo:8) U (8:+oo)

(8*k^2+55*k-75)/(k-8) = 0

8*k^2+55*k-75 = 0

8*k^2+55*k-75 = 0

DELTA = 55^2-(-75*4*8)

DELTA = 5425

DELTA > 0

k = (5425^(1/2)-55)/(2*8) or k = (-5425^(1/2)-55)/(2*8)

k = (5*217^(1/2)-55)/16 or k = (-5*217^(1/2)-55)/16

(k-((-5*217^(1/2)-55)/16))*(k-((5*217^(1/2)-55)/16)) = 0

((k-((-5*217^(1/2)-55)/16))*(k-((5*217^(1/2)-55)/16)))/(k-8) = 0

( k-((-5*217^(1/2)-55)/16) )

k-((-5*217^(1/2)-55)/16) = 0 // + (-5*217^(1/2)-55)/16

k = (-5*217^(1/2)-55)/16

( k-((5*217^(1/2)-55)/16) )

k-((5*217^(1/2)-55)/16) = 0 // + (5*217^(1/2)-55)/16

k = (5*217^(1/2)-55)/16

k in { (-5*217^(1/2)-55)/16, (5*217^(1/2)-55)/16 }

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