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Mathematics 10 Online
OpenStudy (anonymous):

Solve the equation. Identify any extraneous solutions.

OpenStudy (anonymous):

OpenStudy (anonymous):

A. 0 and 7 are solutions of the original equation. B. 0 is a solution of the original equation. 7 is an extraneous solution. C. 7 is a solution of the original equation. 0 is an extraneous solution. D. –7 is a solution of the original equation. 0 is an extraneous solution.

OpenStudy (anonymous):

is the answer A?

OpenStudy (anonymous):

@campbell_st can you help?

OpenStudy (campbell_st):

is your image the equation or a solution?

OpenStudy (anonymous):

@campbell_st the first image is the question

OpenStudy (campbell_st):

ok.. so its \[\frac{2\sqrt{5} - 2}{\sqrt{5}} = 1.1\] just checking, is that the question?

OpenStudy (anonymous):

No sorry! it should of been

OpenStudy (campbell_st):

ok... so looking at the question I'll assume you are working in real numbers so \[w \ge 0\] but it is simply a case of squaring both sides... \[w^2 = 7w\] does that make sense

OpenStudy (anonymous):

yes

OpenStudy (campbell_st):

ok... then your equation can be written as \[w^2 - 7w = 0\] which can be factored...

OpenStudy (anonymous):

7w?

OpenStudy (campbell_st):

nope whats the common factor \[w(w - 7) = 0\] now find the values of w that make the equation true.... what are the solutions...

OpenStudy (anonymous):

i dont know how to find the answer

OpenStudy (campbell_st):

ok...what values can w take so that w(w - 7) = 0 its simply w = 0 or w = 7 why 0(0 - 7) = 0 and 7( 7 - 7) = 0 thats the solution.

OpenStudy (anonymous):

Oh I see so the answer is B?

OpenStudy (campbell_st):

the solutions are w = 0 and 7 you can decide on the extraneous

OpenStudy (anonymous):

how can i find what number is the extraneous

OpenStudy (campbell_st):

to check if a solution is extraneous, don't you substitute into the original equation to see if its true

OpenStudy (anonymous):

I do not really know :(

OpenStudy (campbell_st):

there are no extraneous solutions

OpenStudy (anonymous):

so its A? LIke a thought?

OpenStudy (campbell_st):

it is....

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