(4/5x-1)^2=6/9

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Solution for (4/5x-1)^2=6/9 equation: 


x in (-oo:+oo)

((4/5)*x-1)^2 = 6/9 // - 6/9

((4/5)*x-1)^2-(6/9) = 0

((4/5)*x-1)^2-2/3 = 0

(4/5*x-1)^2-2/3 = 0

(3*(4/5*x-1)^2)/3-2/3 = 0

3*(4/5*x-1)^2-2 = 0

48/25*x^2-24/5*x+1 = 0

48/25*x^2-24/5*x+1 = 0

48/25*x^2-24/5*x+1 = 0

DELTA = (-24/5)^2-(1*48/25*4)

DELTA = 384/25

DELTA > 0

x = ((384/25)^(1/2)+24/5)/(48/25*2) or x = (24/5-(384/25)^(1/2))/(48/25*2)

x = 25/96*((384/25)^(1/2)+24/5) or x = 25/96*(24/5-(384/25)^(1/2))

(x-25/96*(24/5-(384/25)^(1/2)))*(x-25/96*((384/25)^(1/2)+24/5)) = 0

((x-25/96*(24/5-(384/25)^(1/2)))*(x-25/96*((384/25)^(1/2)+24/5)))/3 = 0

((x-25/96*(24/5-(384/25)^(1/2)))*(x-25/96*((384/25)^(1/2)+24/5)))/3 = 0 // * 3

(x-25/96*(24/5-(384/25)^(1/2)))*(x-25/96*((384/25)^(1/2)+24/5)) = 0

( x-25/96*((384/25)^(1/2)+24/5) )

x-25/96*((384/25)^(1/2)+24/5) = 0 // + -25/96*((384/25)^(1/2)+24/5)

x = -(-25/96*((384/25)^(1/2)+24/5))

x = 25/96*((384/25)^(1/2)+24/5)

( x-25/96*(24/5-(384/25)^(1/2)) )

x-25/96*(24/5-(384/25)^(1/2)) = 0 // + -25/96*(24/5-(384/25)^(1/2))

x = -(-25/96*(24/5-(384/25)^(1/2)))

x = 25/96*(24/5-(384/25)^(1/2))

x in { 25/96*((384/25)^(1/2)+24/5), 25/96*(24/5-(384/25)^(1/2)) }

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