Consider the equation $\dfrac{x^2-9}{x-3}=6$. State the value of $x$ for which the left-hand sid

Question

Consider the equation $\dfrac{x^2-9}{x-3}=6$. State the value of $x$ for which the left-hand side is undefined.[1] Determine whether the equation has a solution. Justify your conclusion.[3]

Accepted Answer

(a) $x=3$ (b) No solution: the only candidate is the excluded value $3$.

Excluded values

Excluded values

Solution:

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