4(x-5/2)^2=15/2

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Solution for 4(x-5/2)^2=15/2 equation: 


x in (-oo:+oo)

4*(x-(5/2))^2 = 15/2 // - 15/2

4*(x-(5/2))^2-(15/2) = 0

4*(x-5/2)^2-15/2 = 0

(2*4*(x-5/2)^2)/2-15/2 = 0

2*4*(x-5/2)^2-15 = 0

8*x^2-40*x+35 = 0

8*x^2-40*x+35 = 0

8*x^2-40*x+35 = 0

DELTA = (-40)^2-(4*8*35)

DELTA = 480

DELTA > 0

x = (480^(1/2)+40)/(2*8) or x = (40-480^(1/2))/(2*8)

x = (4*30^(1/2)+40)/16 or x = (40-4*30^(1/2))/16

(x-((40-4*30^(1/2))/16))*(x-((4*30^(1/2)+40)/16)) = 0

((x-((40-4*30^(1/2))/16))*(x-((4*30^(1/2)+40)/16)))/2 = 0

((x-((40-4*30^(1/2))/16))*(x-((4*30^(1/2)+40)/16)))/2 = 0 // * 2

(x-((40-4*30^(1/2))/16))*(x-((4*30^(1/2)+40)/16)) = 0

( x-((4*30^(1/2)+40)/16) )

x-((4*30^(1/2)+40)/16) = 0 // + (4*30^(1/2)+40)/16

x = (4*30^(1/2)+40)/16

( x-((40-4*30^(1/2))/16) )

x-((40-4*30^(1/2))/16) = 0 // + (40-4*30^(1/2))/16

x = (40-4*30^(1/2))/16

x in { (4*30^(1/2)+40)/16, (40-4*30^(1/2))/16 }

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