(x+3/2)^2-11/4

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Solution for (x+3/2)^2-11/4 equation: 


x in (-oo:+oo)

(x+3/2)^2-(11/4) = 0

(x+3/2)^2-11/4 = 0

(4*(x+3/2)^2)/4-11/4 = 0

4*(x+3/2)^2-11 = 0

4*x^2+12*x-2 = 0

4*x^2+12*x-2 = 0

2*(2*x^2+6*x-1) = 0

2*x^2+6*x-1 = 0

DELTA = 6^2-(-1*2*4)

DELTA = 44

DELTA > 0

x = (44^(1/2)-6)/(2*2) or x = (-44^(1/2)-6)/(2*2)

x = (2*11^(1/2)-6)/4 or x = (-2*11^(1/2)-6)/4

2*(x-((-2*11^(1/2)-6)/4))*(x-((2*11^(1/2)-6)/4)) = 0

(2*(x-((-2*11^(1/2)-6)/4))*(x-((2*11^(1/2)-6)/4)))/4 = 0

(2*(x-((-2*11^(1/2)-6)/4))*(x-((2*11^(1/2)-6)/4)))/4 = 0 // * 4

2*(x-((-2*11^(1/2)-6)/4))*(x-((2*11^(1/2)-6)/4)) = 0

( x-((-2*11^(1/2)-6)/4) )

x-((-2*11^(1/2)-6)/4) = 0 // + (-2*11^(1/2)-6)/4

x = (-2*11^(1/2)-6)/4

( x-((2*11^(1/2)-6)/4) )

x-((2*11^(1/2)-6)/4) = 0 // + (2*11^(1/2)-6)/4

x = (2*11^(1/2)-6)/4

x in { (-2*11^(1/2)-6)/4, (2*11^(1/2)-6)/4 }

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