Darryl has written 60 percent, or 12 pages of his history report. darryl wants to figure out how many pages he needs to write.

Step 4.

Darryl should have put 12 in the denominator

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- 6 is the extraneous solution.

Step-by-step explanation:

Given : .

To find : Which of the following is an extraneous solution .

Solution : We have given that .

Taking square both sides

-3x - 2 = .

On applying identity   = a² + b² + 2ab

Then ,

-3x -2 =  x² + 2² + 2 * 2 *x

-3x -2 =  x² + 4 + 4x.

On adding both sides by 3x

-2 =  x² + 4 + 4x + 3x

-2 =  x² + 4 + 7x

On adding both sides by 2

0 =  x² + 4 + 7x + 2

On switching sides

x² +7x + 6 = 0

On Factoring

x² +6x + x + 6 = 0

x ( x+ 6 ) +1 (x +6 ) = 0

On grouping

( x +1) ( x +6) = 0

x = -1, -6.

Let check for x = -6

.

4 =  -4

An extraneous solution is a root of a transformed equation that is not a root of the original equation.

Therefore,  -6 is the extraneous solution.