(x1/2+x-1/2)2=63x-1

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Solution for (x1/2+x-1/2)2=63x-1 equation: 


x in (-oo:+oo)

((x^1)/2+x-(1/2))^2 = 63*x-1 // - 63*x-1

((x^1)/2+x-(1/2))^2-(63*x)+1 = 0

(x/2+x-1/2)^2-63*x+1 = 0

(3/2*x-1/2)^2-63*x+1 = 0

(3/2*x-1/2)^2-63*x+1 = 0

9/4*x^2-129/2*x+1/4+1 = 0

9/4*x^2-129/2*x+5/4 = 0

9/4*x^2-129/2*x+5/4 = 0

1/2*(9/2*x^2-129*x+5/2) = 0

9/2*x^2-129*x+5/2 = 0

DELTA = (-129)^2-(5/2*4*9/2)

DELTA = 16596

DELTA > 0

x = (16596^(1/2)+129)/(2*9/2) or x = (129-16596^(1/2))/(2*9/2)

x = (6*461^(1/2)+129)/9 or x = (129-6*461^(1/2))/9

1/2*(x-((129-6*461^(1/2))/9))*(x-((6*461^(1/2)+129)/9)) = 0

1/2*(x-((129-6*461^(1/2))/9))*(x-((6*461^(1/2)+129)/9)) = 0

( x-((129-6*461^(1/2))/9) )

x-((129-6*461^(1/2))/9) = 0 // + (129-6*461^(1/2))/9

x = (129-6*461^(1/2))/9

( x-((6*461^(1/2)+129)/9) )

x-((6*461^(1/2)+129)/9) = 0 // + (6*461^(1/2)+129)/9

x = (6*461^(1/2)+129)/9

x in { (129-6*461^(1/2))/9, (6*461^(1/2)+129)/9 }

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