Step-by-step explanation:
<h2>
Step-by-step explanation:1) Irrational number</h2><h2>
2) Irrational number</h2><h2>
3) Irrational number</h2><h2>
4) Rational Number</h2>

Expanding the left side gives

which gives two solutions,

and

. But if

, then

, but this number isn't real, so

is an extraneous solution. Meanwhile if

, you get

, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
Common difference r will be the difference between next two values of number row, so we take e.g. second minus first: r=9.4-6=3.4. You can see, that this value is constant as we go through next pairs of values.
Negative 45 or -45 because different signs with multiplication are always negative