Question

PLASE HELP


Lincoln and Gemma are looking at the equation the square root of the quantity of 2 times x plus 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.

Answer 1

@Kainui @IMStuck @iPwnBunnies @iambatman @satellite73

Answer 2

\[\sqrt{2x-3} = \sqrt{x} \rightarrow (\sqrt{2x-3})^{2} = (\sqrt{x})^{2} \rightarrow 2x-3 = x\]

Answer 3

With 2x - 3 = x

2x = x + 3

x = 3

Answer 4

An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Source: http://hotmath.com/hotmath_help/topics/extraneous-solutions.html

Answer 5

Does that help any @jenniferjuice ?

Answer 6

yess it hellps a lot thank you !

Answer 7

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