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Andre45 [30]
4 years ago
12

What is the solution of √2x+4 -√x-2?

Mathematics
2 answers:
sammy [17]4 years ago
5 0
I hope this answer helped u

Goshia [24]4 years ago
3 0
OK either the equation is \sqrt{} 2x+4 - \sqrt{x} -2 =0 or \sqrt{} 2x+4 = \sqrt{x} -2  Either way it ends up the same because if it is the first equation, I would move the \sqrt{x} - 2 to the other side of the equation.  It would become \sqrt{x} + 2.

For my example, I am going with \sqrt{} 2x+4 = \sqrt{x} -2 
Square both sides
2x+4=(x+2)^{2}
Then use FOIL to solve the right side
2x+4=x^{2} +2x+2x+4
Then combine like terms
2x+4=x^{2} +4x+4
Set it equal to 0 and combine like terms
0= x^{2} -2x
0=x(x-2)
So x=0 and x=2
If it was the other was it would be x=-2

Hope that helps.

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