Answer :

Answer:

no solutions exist

Step-by-step explanation:

[tex]\sqrt{y-3} = \sqrt{y} -3 \\ y-3 = y + 9 -6\sqrt{y} \\ 6\sqrt{y} = 12 \\ \sqrt{y} = 2 \\ y = 4[/tex]

verify

[tex]\sqrt{4-3} - 2 = -3 \\ 1-2 = -3 \\ -1= -3[/tex]

not true, the equation is impossible

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