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What equation has the solution ?

What equation has the solution ?-example-1

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x= (5 \pm 2 √(7) )/(3) \\ x= (5 + 2 √(7) )/(3) \ or \ x= (5 - 2 √(7) )/(3) \\ (x-(5 + 2 √(7) )/(3))=0 \ or \ (x- (5 - 2 √(7) )/(3))=0 \\ (x-(5 + 2 √(7) )/(3))(x- (5 - 2 √(7) )/(3))=0 \\ (3x-(5 + 2 √(7)))(3x-(5 - 2 √(7)))=0 \\ 9x^2-3x(5-2 √(7) )-3x(5+2 √(7) )+(5+2 √(7) )(5-2 √(7) )=0 \\ 9x^2-15x+6 √(7) x-15x-6 √(7) x+25-28=0 \\ 9x^2-30x-3=0 \\ 3(3x^2-10x-1)=0 \\ 3x^2-10x-1=0
User Carl Goldsmith
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