(6x+8x^2-13)/(2x+3)

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Solution for (6x+8x^2-13)/(2x+3) equation:


D( x )

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0 // - 3

2*x = -3 // : 2

x = -3/2

x in (-oo:-3/2) U (-3/2:+oo)

(8*x^2+6*x-13)/(2*x+3) = 0

8*x^2+6*x-13 = 0

8*x^2+6*x-13 = 0

DELTA = 6^2-(-13*4*8)

DELTA = 452

DELTA > 0

x = (452^(1/2)-6)/(2*8) or x = (-452^(1/2)-6)/(2*8)

x = (2*113^(1/2)-6)/16 or x = (-2*113^(1/2)-6)/16

(x-((-2*113^(1/2)-6)/16))*(x-((2*113^(1/2)-6)/16)) = 0

((x-((-2*113^(1/2)-6)/16))*(x-((2*113^(1/2)-6)/16)))/(2*x+3) = 0

( x-((-2*113^(1/2)-6)/16) )

x-((-2*113^(1/2)-6)/16) = 0 // + (-2*113^(1/2)-6)/16

x = (-2*113^(1/2)-6)/16

( x-((2*113^(1/2)-6)/16) )

x-((2*113^(1/2)-6)/16) = 0 // + (2*113^(1/2)-6)/16

x = (2*113^(1/2)-6)/16

x in { (-2*113^(1/2)-6)/16, (2*113^(1/2)-6)/16 }

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