4=(x^2)/(3800-50x)

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Solution for 4=(x^2)/(3800-50x) equation: 


D( x )

3800-(50*x) = 0

3800-(50*x) = 0

3800-(50*x) = 0

3800-50*x = 0

3800-50*x = 0 // - 3800

-50*x = -3800 // : -50

x = -3800/(-50)

x = 76

x in (-oo:76) U (76:+oo)

4 = (x^2)/(3800-(50*x)) // - (x^2)/(3800-(50*x))

4-((x^2)/(3800-(50*x))) = 0

4-((x^2)/(3800-50*x)) = 0

(-1*x^2)/(3800-50*x)+4 = 0

(-1*x^2)/(3800-50*x)+(4*(3800-50*x))/(3800-50*x) = 0

4*(3800-50*x)-1*x^2 = 0

15200-x^2-200*x = 0

15200-x^2-200*x = 0

15200-x^2-200*x = 0

DELTA = (-200)^2-(-1*4*15200)

DELTA = 100800

DELTA > 0

x = (100800^(1/2)+200)/(-1*2) or x = (200-100800^(1/2))/(-1*2)

x = (120*7^(1/2)+200)/(-2) or x = (200-120*7^(1/2))/(-2)

(x-((120*7^(1/2)+200)/(-2)))*(x-((200-120*7^(1/2))/(-2))) = 0

((x-((120*7^(1/2)+200)/(-2)))*(x-((200-120*7^(1/2))/(-2))))/(3800-50*x) = 0

((x-((120*7^(1/2)+200)/(-2)))*(x-((200-120*7^(1/2))/(-2))))/(3800-50*x) = 0 // * 3800-50*x

(x-((120*7^(1/2)+200)/(-2)))*(x-((200-120*7^(1/2))/(-2))) = 0

( x-((120*7^(1/2)+200)/(-2)) )

x-((120*7^(1/2)+200)/(-2)) = 0 // + (120*7^(1/2)+200)/(-2)

x = (120*7^(1/2)+200)/(-2)

( x-((200-120*7^(1/2))/(-2)) )

x-((200-120*7^(1/2))/(-2)) = 0 // + (200-120*7^(1/2))/(-2)

x = (200-120*7^(1/2))/(-2)

x in { (120*7^(1/2)+200)/(-2), (200-120*7^(1/2))/(-2) }

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