Question

le=" \sqrt{y - 3} - \sqrt{y} = - 3" alt=" \sqrt{y - 3} - \sqrt{y} = - 3" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

no solutions exist

Step-by-step explanation:

$\sqrt{y-3} = \sqrt{y} -3 \\ y-3 = y + 9 -6\sqrt{y} \\ 6\sqrt{y} = 12 \\ \sqrt{y} = 2 \\ y = 4$

verify

$\sqrt{4-3} - 2 = -3 \\ 1-2 = -3 \\ -1= -3$

not true, the equation is impossible