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

.
"Assuming a fair coin<span> and a fair 6-sided </span>die<span>. </span>Coin<span> has 2 sides with </span>equal probability<span>, 50% each. </span>Die<span> has 6 sides with </span>equal probability<span>, 1/6 odds </span>for<span> each side. ... The</span>probability of getting heads<span> is 1/2, and the </span>probability of getting<span> 5 or 6 is 1/3, and so you simply multiply 1/2 x 1/3, which is 1/6."</span>
Answer:
x=3
Step-by-step explanation:
using the pythagorean theorem, c^2=a^2+b^2
5^2=x^2+4^2, x=3
Answer:
(0,5) (0,-5)
Step-by-step explanation: