4/(2x-5)-7/4(2x-5)

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Solution for 4/(2x-5)-7/4(2x-5) equation:


D( x )

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

x in (-oo:5/2) U (5/2:+oo)

4/(2*x-5)-((7/4)*(2*x-5)) = 0

4/(2*x-5)+(-7/4)*(2*x-5) = 0

4/(2*x-5)-7/4*(2*x-5) = 0

4/(2*x-5)+(-7/4*(2*x-5)^2)/(2*x-5) = 0

4-7/4*(2*x-5)^2 = 0

35*x-7*x^2-159/4 = 0

35*x-7*x^2-159/4 = 0

35*x-7*x^2-159/4 = 0

DELTA = 35^2-(-159/4*(-7)*4)

DELTA = 112

DELTA > 0

x = (112^(1/2)-35)/(-7*2) or x = (-112^(1/2)-35)/(-7*2)

x = (4*7^(1/2)-35)/(-14) or x = (-4*7^(1/2)-35)/(-14)

(x-((4*7^(1/2)-35)/(-14)))*(x-((-4*7^(1/2)-35)/(-14))) = 0

((x-((4*7^(1/2)-35)/(-14)))*(x-((-4*7^(1/2)-35)/(-14))))/(2*x-5) = 0

((x-((4*7^(1/2)-35)/(-14)))*(x-((-4*7^(1/2)-35)/(-14))))/(2*x-5) = 0 // * 2*x-5

(x-((4*7^(1/2)-35)/(-14)))*(x-((-4*7^(1/2)-35)/(-14))) = 0

( x-((-4*7^(1/2)-35)/(-14)) )

x-((-4*7^(1/2)-35)/(-14)) = 0 // + (-4*7^(1/2)-35)/(-14)

x = (-4*7^(1/2)-35)/(-14)

( x-((4*7^(1/2)-35)/(-14)) )

x-((4*7^(1/2)-35)/(-14)) = 0 // + (4*7^(1/2)-35)/(-14)

x = (4*7^(1/2)-35)/(-14)

x in { (-4*7^(1/2)-35)/(-14), (4*7^(1/2)-35)/(-14) }

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