49(x+1/4)^2=100

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Solution for 49(x+1/4)^2=100 equation: 


x in (-oo:+oo)

49*(x+1/4)^2 = 100 // - 100

49*(x+1/4)^2-100 = 0

49*(x+1/4)^2-100 = 0

49*x^2+49/2*x-1551/16 = 0

49*x^2+49/2*x-1551/16 = 0

49*x^2+49/2*x-1551/16 = 0

DELTA = (49/2)^2-(-1551/16*4*49)

DELTA = 19600

DELTA > 0

x = (19600^(1/2)-49/2)/(2*49) or x = (-19600^(1/2)-49/2)/(2*49)

x = 33/28 or x = -47/28

(x+47/28)*(x-33/28) = 0

(x+47/28)*(x-33/28) = 0

( x+47/28 )

x+47/28 = 0 // - 47/28

x = -47/28

( x-33/28 )

x-33/28 = 0 // + 33/28

x = 33/28

x in { -47/28, 33/28 }

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