2/7(x-4)^2-1

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Solution for 2/7(x-4)^2-1 equation:


x in (-oo:+oo)

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

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

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

2/7*x^2-16/7*x+25/7 = 0

2/7*x^2-16/7*x+25/7 = 0

1/7*(2*x^2-16*x+25) = 0

2*x^2-16*x+25 = 0

DELTA = (-16)^2-(2*4*25)

DELTA = 56

DELTA > 0

x = (56^(1/2)+16)/(2*2) or x = (16-56^(1/2))/(2*2)

x = (2*14^(1/2)+16)/4 or x = (16-2*14^(1/2))/4

1/7*(x-((16-2*14^(1/2))/4))*(x-((2*14^(1/2)+16)/4)) = 0

1/7*(x-((16-2*14^(1/2))/4))*(x-((2*14^(1/2)+16)/4)) = 0

( 1/7 )

1/7 = 0

x belongs to the empty set

( x-((16-2*14^(1/2))/4) )

x-((16-2*14^(1/2))/4) = 0 // + (16-2*14^(1/2))/4

x = (16-2*14^(1/2))/4

( x-((2*14^(1/2)+16)/4) )

x-((2*14^(1/2)+16)/4) = 0 // + (2*14^(1/2)+16)/4

x = (2*14^(1/2)+16)/4

x in { (16-2*14^(1/2))/4, (2*14^(1/2)+16)/4 }

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