5/4=(a+4)/2a

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Solution for 5/4=(a+4)/2a equation: 


a in (-oo:+oo)

5/4 = a*((a+4)/2) // - a*((a+4)/2)

5/4-(a*((a+4)/2)) = 0

(-1*a*(a+4))/2+5/4 = 0

(-1*4*a*(a+4))/(2*4)+(2*5)/(2*4) = 0

2*5-1*4*a*(a+4) = 0

10-4*a^2-16*a = 0

10-4*a^2-16*a = 0

2*(5-2*a^2-8*a) = 0

5-2*a^2-8*a = 0

DELTA = (-8)^2-(-2*4*5)

DELTA = 104

DELTA > 0

a = (104^(1/2)+8)/(-2*2) or a = (8-104^(1/2))/(-2*2)

a = (2*26^(1/2)+8)/(-4) or a = (8-2*26^(1/2))/(-4)

2*(a-((2*26^(1/2)+8)/(-4)))*(a-((8-2*26^(1/2))/(-4))) = 0

(2*(a-((2*26^(1/2)+8)/(-4)))*(a-((8-2*26^(1/2))/(-4))))/(2*4) = 0

(2*(a-((2*26^(1/2)+8)/(-4)))*(a-((8-2*26^(1/2))/(-4))))/(2*4) = 0 // * 2*4

2*(a-((2*26^(1/2)+8)/(-4)))*(a-((8-2*26^(1/2))/(-4))) = 0

( a-((2*26^(1/2)+8)/(-4)) )

a-((2*26^(1/2)+8)/(-4)) = 0 // + (2*26^(1/2)+8)/(-4)

a = (2*26^(1/2)+8)/(-4)

( a-((8-2*26^(1/2))/(-4)) )

a-((8-2*26^(1/2))/(-4)) = 0 // + (8-2*26^(1/2))/(-4)

a = (8-2*26^(1/2))/(-4)

a in { (2*26^(1/2)+8)/(-4), (8-2*26^(1/2))/(-4) }

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