Can someone please explain to me how to go about solving this?

Lincoln and Gemma are looking at the equation the square root of the quantity of 2 times x minus 3 equals square root of x . Lincoln says that the solution is extraneous. Gemma says the solution is non-extraneous. Is Lincoln correct? Is Gemma correct? Are they both correct? Justify your response by solving this equation, explaining each step with complete sentences.

Question

Can someone please explain to me how to go about solving this?


Lincoln and Gemma are looking at the equation the square root of the quantity of 2 times x minus 3 equals square root of x . Lincoln says that the solution is extraneous. Gemma says the solution is non-extraneous. Is Lincoln correct? Is Gemma correct? Are they both correct? Justify your response by solving this equation, explaining each step with complete sentences.

anonymous · Answer

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triciaal · Answer

did you try to solve?
start by squaring each side

triciaal · Answer

2x -  3 = x
x = 3

anonymous · Answer

Thank you! then it's non extraneous since it makes the equation true correct?

triciaal · Answer

how would you define an extraneous solution?

triciaal · Answer

lol we are basically asking each other the same question

anonymous · Answer

I thought it was a solution you get and when you plug it back in it doesn't work, or makes it "not true"