4(x-3/4)^2-25(x-2/3)^2

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Solution for 4(x-3/4)^2-25(x-2/3)^2 equation: 


x in (-oo:+oo)

4*(x-(3/4))^2-(25*(x-(2/3))^2) = 0

4*(x-3/4)^2-25*(x-2/3)^2 = 0

4*(x-3/4)^2-25*(x-2/3)^2 = 0

82/3*x-21*x^2-319/36 = 0

82/3*x-21*x^2-319/36 = 0

82/3*x-21*x^2-319/36 = 0

DELTA = (82/3)^2-(-21*(-319/36)*4)

DELTA = 25/9

DELTA > 0

x = ((25/9)^(1/2)-82/3)/(-21*2) or x = (-(25/9)^(1/2)-82/3)/(-21*2)

x = 11/18 or x = 29/42

(x-11/18)*(x-29/42) = 0

(x-11/18)*(x-29/42) = 0

( x-11/18 )

x-11/18 = 0 // + 11/18

x = 11/18

( x-29/42 )

x-29/42 = 0 // + 29/42

x = 29/42

x in { 11/18, 29/42 }

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