Study the steps shown to solve the given equation.
(√30 - 2x)= x - 3
30 - 2x = x2 - 6x + 9
0 = x2 - 4x - 21
0 = (x + 3)(x - 7)
Based on the above work, possible solutions of the equation are
and
Check the answers in the original equation. The extraneous solution
is x=

The possible solutions are -3 and 7, and the extraneous solution is x = -3,

From the steps shown, the last step is:

Rewrite as:

Split

Remove brackets

Solve for x

So, the possible solutions are -3 and 7

Substitute -3 and 7 for x in the original equation to determine the extraneous solution.

Take square root of 36

Take square root of 16

Hence, the extraneous solution is x = -3, because

Read more about extraneous solutions at:

link

a) The possible solutions are:

x=7 and x=-3

b)The extraneous solution

is x=

Step-by-step explanation:

The last step gives us the possible solutions.

By the zero product property,

This implies that:

The original equation is

We substitute x=-3 to get;

This not true, therefore x=-3 is an extraneous solution.

We substitute x=7

Therefore x=7 is the only solution.