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please help me solve equation ${\sqrt {x^2-10 x+1}=\sqrt {-8 x^2+9 x-1}}$

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please help me solve equation ${\sqrt {x^2-10 x+1}=\sqrt {-8 x^2+9 x-1}}$

above equation, maple gives 2 solutions x=2, x=1/9
but in fact the equation has no solution

please help me.

solve(sqrt(x^2-10*x+1) = sqrt(-8*x^2+9*x-1))

1/9, 2

(1)

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Download solve_eq_help.mw


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