-(x-5/2)^2+49/4=0

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Solution for -(x-5/2)^2+49/4=0 equation: 


x in (-oo:+oo)

49/4-(x-(5/2))^2 = 0

49/4-(x-5/2)^2 = 0

49/4-1*(x-5/2)^2 = 0

(-1*4*(x-5/2)^2)/4+49/4 = 0

49-1*4*(x-5/2)^2 = 0

20*x-4*x^2+24 = 0

20*x-4*x^2+24 = 0

4*(5*x-x^2+6) = 0

5*x-x^2+6 = 0

DELTA = 5^2-(-1*4*6)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(-1*2) or x = (-49^(1/2)-5)/(-1*2)

x = -1 or x = 6

4*(x+1)*(x-6) = 0

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

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

4*(x+1)*(x-6) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -1, 6 }

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