I got this algebra problem that I have been trying to get around but the answer I get is always different from the book.(adsbygoogle = window.adsbygoogle || []).push({});

It says: Find all the real solutions, if any of each equation.

21). [tex]\sqrt{2x-3} +x=3[/tex].

I tried to resolve it using the following method:

2x-3+x^2=9

(2x-12)+(x^2-9)=0

2(x-6)+(x+3)(x-3)=0

(x+3) and (x-3) will cancel each other so;

2x-12=0

x=12/2

x=6.

However, this is wrong and I know it, cause the answer does not fit the equation. So can anyone help me point what's wrong with what I did?

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# Find all real solutions

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