Example:

This suggests two solutions,

and

.
However, upon plugging these solutions back into the equation, you get

which checks out, but

does not because

is defined only for

(assuming you're looking for real solutions only). So, we call

an extraneous solution, and the complete solution set (over the real numbers) is

.
Answer:
15%
Step-by-step explanation:
Let c represent the regular price of the carpet.
Then:
sale price = regular price less discount
$374 = c - $66
Adding $66 to both sides isolates (solves for) c:
$374 + $66 = c = $440. This is the regular price.
$66
---------- = 0.15 This is the fraction of the regular price by
$440 which the regular price is reduced.
Then the percentage of this discount was 0.15(100%) = 15%
Answer:
0.24
Step-by-step explanation:
2.88/12=0.24
5x+5+65+65=
Answer:
x=-27
Step-by-step explanation:
We want to find x right, so everything that does not have x you can move to the other side. 5x=-5-65-65. So that should be your equation so far. Now we know that when there are two negatives it is a negative and you add so -5-65=-70-65=-135. So your equation now should be: 5x=-135. Now we can divide -135 with 5 which gives us... -27! There’s your answer. Hope this was correct!
Answer:
Step-by-step explanation:
X^2-10x-8=0
Solve simultaneously