(4/5X-1)2=4/9

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Solution for (4/5X-1)2=4/9 equation:


X in (-oo:+oo)

((4/5)*X-1)^2 = 4/9 // - 4/9

((4/5)*X-1)^2-(4/9) = 0

((4/5)*X-1)^2-4/9 = 0

(4/5*X-1)^2-4/9 = 0

(9*(4/5*X-1)^2)/9-4/9 = 0

9*(4/5*X-1)^2-4 = 0

144/25*X^2-72/5*X+5 = 0

144/25*X^2-72/5*X+5 = 0

144/25*X^2-72/5*X+5 = 0

DELTA = (-72/5)^2-(4*5*144/25)

DELTA = 2304/25

DELTA > 0

X = ((2304/25)^(1/2)+72/5)/(2*144/25) or X = (72/5-(2304/25)^(1/2))/(2*144/25)

X = 25/12 or X = 5/12

(X-5/12)*(X-25/12) = 0

((X-5/12)*(X-25/12))/9 = 0

((X-5/12)*(X-25/12))/9 = 0 // * 9

(X-5/12)*(X-25/12) = 0

( X-25/12 )

X-25/12 = 0 // + 25/12

X = 25/12

( X-5/12 )

X-5/12 = 0 // + 5/12

X = 5/12

X in { 25/12, 5/12 }

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