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What values of x make the two expression below equal?

(2x+1)(x-7)/11(x-7)=2x+1/11


A.) All real numbers expect -1/2

B.) All real numbers

C.) All real numbers expect -1/2 and 7

D.) All real numbers expect 7

Verified Answer :

naǫ

The denominator can't equal 0.
\(11(x-7) ot= 0 \\ x-7 ot=0 \\ x ot= 7 \\ \\ \\ \frac{(2x+1)(x-7)}{11(x-7)}=\frac{2x+1}{11} \\ \\ (2x+1)(x-7) \cdot 11= 11(x-7) \cdot (2x+1) \\ 11(2x+1)(x-7)=11(2x+1)(x-7) \\ \\ x \in R \setminus \{7 \}\)

The answer is D.

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