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Hi can you help me find the correct answer to this?

Hi can you help me find the correct answer to this?-example-1
User Ryan Gill
by
8.4k points

1 Answer

3 votes

Given:


x-5=√(x-3)

To find:

The solution

Step-by-step explanation:

Taking square on both sides, we get


(x-5)^2=x-3

Expanding and solving for x, we get,


\begin{gathered} x^2+25-10x=x-3 \\ x^2+25-10x-x+3=0 \\ x^2-11x+28=0 \\ (x-7)(x-4)=0 \\ x=7,4 \end{gathered}

Therefore, the solutions are 7 and 4.

Final answer:

The solutions are 7 and 4.

User Daniel Mahadi
by
8.7k points

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