Question

Without solving, which values for g could be extraneous for the equation below?3/2g 8=3/4a. g= -4b. g= -2c. g= 2d. g= 4

Answer 1

For the equation 3 / (2g + 8), the possible solution to the value of g would be g = -2. Among the choices, the correct answer is B. Even without solving, direct substitution of the value to the unknown variable in the equation would show us if it is the correct solution or not.

Answer 2

Option a is correct that is g= -4.

Explanation:

We have been given the expression:

`(3)/(2g+8)=(3)/(4)`

Extraneous solution is that point which is excluded from the domain or we can say that that function is not defined at that point

So, we will equate denominator to zero to get the extraneous solution

`2g+8=0`

On simplification:

`2g=-8`

`\Rightarrow g=-4`

Hence, Option a is correct.