4(X-5/2)^2=49

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Solution for 4(X-5/2)^2=49 equation: 


X in (-oo:+oo)

4*(X-(5/2))^2 = 49 // - 49

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

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

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

4*X^2-20*X-24 = 0

4*X^2-20*X-24 = 0

4*(X^2-5*X-6) = 0

X^2-5*X-6 = 0

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

DELTA = 49

DELTA > 0

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

X = 6 or X = -1

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

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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