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

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


x in (-oo:+oo)

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

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

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

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

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

4*x^2+20*x+10 = 0

4*x^2+20*x+10 = 0

2*(2*x^2+10*x+5) = 0

2*x^2+10*x+5 = 0

DELTA = 10^2-(2*4*5)

DELTA = 60

DELTA > 0

x = (60^(1/2)-10)/(2*2) or x = (-60^(1/2)-10)/(2*2)

x = (2*15^(1/2)-10)/4 or x = (-2*15^(1/2)-10)/4

2*(x-((-2*15^(1/2)-10)/4))*(x-((2*15^(1/2)-10)/4)) = 0

(2*(x-((-2*15^(1/2)-10)/4))*(x-((2*15^(1/2)-10)/4)))/4 = 0

(2*(x-((-2*15^(1/2)-10)/4))*(x-((2*15^(1/2)-10)/4)))/4 = 0 // * 4

2*(x-((-2*15^(1/2)-10)/4))*(x-((2*15^(1/2)-10)/4)) = 0

( x-((-2*15^(1/2)-10)/4) )

x-((-2*15^(1/2)-10)/4) = 0 // + (-2*15^(1/2)-10)/4

x = (-2*15^(1/2)-10)/4

( x-((2*15^(1/2)-10)/4) )

x-((2*15^(1/2)-10)/4) = 0 // + (2*15^(1/2)-10)/4

x = (2*15^(1/2)-10)/4

x in { (-2*15^(1/2)-10)/4, (2*15^(1/2)-10)/4 }

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