2(x-1.75)^2-(153/8)=0

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Solution for 2(x-1.75)^2-(153/8)=0 equation: 


x in (-oo:+oo)

2*(x-1.75)^2-(153/8) = 0

2*(x-1.75)^2-153/8 = 0

(2*8*(x-1.75)^2)/8-153/8 = 0

2*8*(x-1.75)^2-153 = 0

16*x^2-56*x-104 = 0

16*x^2-56*x-104 = 0

8*(2*x^2-7*x-13) = 0

2*x^2-7*x-13 = 0

DELTA = (-7)^2-(-13*2*4)

DELTA = 153

DELTA > 0

x = (153^(1/2)+7)/(2*2) or x = (7-153^(1/2))/(2*2)

x = (3*17^(1/2)+7)/4 or x = (7-3*17^(1/2))/4

8*(x-((7-3*17^(1/2))/4))*(x-((3*17^(1/2)+7)/4)) = 0

(8*(x-((7-3*17^(1/2))/4))*(x-((3*17^(1/2)+7)/4)))/8 = 0

(8*(x-((7-3*17^(1/2))/4))*(x-((3*17^(1/2)+7)/4)))/8 = 0 // * 8

8*(x-((7-3*17^(1/2))/4))*(x-((3*17^(1/2)+7)/4)) = 0

( 8 )

8 = 0

x belongs to the empty set

( x-((3*17^(1/2)+7)/4) )

x-((3*17^(1/2)+7)/4) = 0 // + (3*17^(1/2)+7)/4

x = (3*17^(1/2)+7)/4

( x-((7-3*17^(1/2))/4) )

x-((7-3*17^(1/2))/4) = 0 // + (7-3*17^(1/2))/4

x = (7-3*17^(1/2))/4

x in { (3*17^(1/2)+7)/4, (7-3*17^(1/2))/4 }

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