3.7=(4x^2)/(2.5-x)

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Solution for 3.7=(4x^2)/(2.5-x) equation:


D( x )

2.5-x = 0

2.5-x = 0

2.5-x = 0

2.5-x = 0 // - 2.5

-x = -2.5 // * -1

x = 2.5

x in (-oo:2.5) U (2.5:+oo)

3.7 = (4*x^2)/(2.5-x) // - (4*x^2)/(2.5-x)

3.7-((4*x^2)/(2.5-x)) = 0

3.7-4*x^2*(2.5-x)^-1 = 0

(-4*x^2)/(2.5-x)+3.7 = 0

(-4*x^2)/(2.5-x)+(3.7*(2.5-x))/(2.5-x) = 0

3.7*(2.5-x)-4*x^2 = 0

9.25-4*x^2-3.7*x = 0

9.25-4*x^2-3.7*x = 0

9.25-4*x^2-3.7*x = 0

DELTA = (-3.7)^2-(-4*4*9.25)

DELTA = 3.7^2+148

DELTA = 161.69

DELTA > 0

x = ((3.7^2+148)^(1/2)+3.7)/(-4*2) or x = (3.7-(3.7^2+148)^(1/2))/(-4*2)

x = ((3.7^2+148)^(1/2)+3.7)/(-8) or x = (3.7-(3.7^2+148)^(1/2))/(-8)

(x-(((3.7^2+148)^(1/2)+3.7)/(-8)))*(x-((3.7-(3.7^2+148)^(1/2))/(-8))) = 0

((x-(((3.7^2+148)^(1/2)+3.7)/(-8)))*(x-((3.7-(3.7^2+148)^(1/2))/(-8))))/(2.5-x) = 0

((x-(((3.7^2+148)^(1/2)+3.7)/(-8)))*(x-((3.7-(3.7^2+148)^(1/2))/(-8))))/(2.5-x) = 0 // * 2.5-x

(x-(((3.7^2+148)^(1/2)+3.7)/(-8)))*(x-((3.7-(3.7^2+148)^(1/2))/(-8))) = 0

( x-(((3.7^2+148)^(1/2)+3.7)/(-8)) )

x-(((3.7^2+148)^(1/2)+3.7)/(-8)) = 0 // + ((3.7^2+148)^(1/2)+3.7)/(-8)

x = ((3.7^2+148)^(1/2)+3.7)/(-8)

( x-((3.7-(3.7^2+148)^(1/2))/(-8)) )

x-((3.7-(3.7^2+148)^(1/2))/(-8)) = 0 // + (3.7-(3.7^2+148)^(1/2))/(-8)

x = (3.7-(3.7^2+148)^(1/2))/(-8)

x in { ((3.7^2+148)^(1/2)+3.7)/(-8), (3.7-(3.7^2+148)^(1/2))/(-8) }

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