Question

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

Answer 1

The denominator can't equal 0.

`11(x-7) \\ot= 0 \\ x-7 \\ot=0 \\ x \\ot= 7 \\ \\ \\ ((2x+1)(x-7))/(11(x-7))=(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.