How do you solve $sqrt(3k-11)=sqrt(5-k)$ ?

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Answer 1 · 2017-02-12T11:39:31

$k=4$

Given:

$sqrt(3k-11) = sqrt(5-k)$

Square both sides (noting that this may introduce an extraneous solution) to get:

$3k-11 = 5-k$

Add $11+k$ to both sides to get:

$4k = 16$

Divide both sides by $4$ to get:

$k = 4$

Check:

$sqrt(3*color(blue)(4)-11) = sqrt(1) = sqrt(5-color(blue)(4))$

How do you solve sqrt(3k-11)=sqrt(5-k)sqrt(3k-11)=sqrt(5-k)?