((22/5)-x)((3/5)-x)-84/5

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Solution for ((22/5)-x)((3/5)-x)-84/5 equation:


x in (-oo:+oo)

(22/5-x)*(3/5-x)-(84/5) = 0

(22/5-x)*(3/5-x)-84/5 = 0

(5*(22/5-x)*(3/5-x))/5-84/5 = 0

5*(22/5-x)*(3/5-x)-84 = 0

5*x^2-25*x-354/5 = 0

5*x^2-25*x-354/5 = 0

5*x^2-25*x-354/5 = 0

DELTA = (-25)^2-(-354/5*4*5)

DELTA = 2041

DELTA > 0

x = (2041^(1/2)+25)/(2*5) or x = (25-2041^(1/2))/(2*5)

x = (2041^(1/2)+25)/10 or x = (25-2041^(1/2))/10

(x-((25-2041^(1/2))/10))*(x-((2041^(1/2)+25)/10)) = 0

((x-((25-2041^(1/2))/10))*(x-((2041^(1/2)+25)/10)))/5 = 0

((x-((25-2041^(1/2))/10))*(x-((2041^(1/2)+25)/10)))/5 = 0 // * 5

(x-((25-2041^(1/2))/10))*(x-((2041^(1/2)+25)/10)) = 0

( x-((2041^(1/2)+25)/10) )

x-((2041^(1/2)+25)/10) = 0 // + (2041^(1/2)+25)/10

x = (2041^(1/2)+25)/10

( x-((25-2041^(1/2))/10) )

x-((25-2041^(1/2))/10) = 0 // + (25-2041^(1/2))/10

x = (25-2041^(1/2))/10

x in { (2041^(1/2)+25)/10, (25-2041^(1/2))/10 }

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