Answer

3 and -2 🎯

The ordering of the values does not matter to be accepted as the correct answer.

Solution

The problem is very similar to my very first Math challenge problem at @savvyplayer/this-is-the-practice-problem/.

When the expression on the original problem is represented in numeric form, we get √(6 + √(6 + √(6 + ...))). Since the expression repeats itself recursively, we can represent the entire expression as x. We now have the equation x = √(6 + x) and should solve for the value of x.

x = √(6 + √(6 + √(6 + ...)))
x = √(6 + x)
x² = 6 + x
x² - x - 6 = 0
(x - 3)(x + 2) = 0
x = 3 or x = -2

Some people might argue that "-2 is not allowed because it will make the radical imaginary". In that case, if you try substituting -2 to the original expression , it will give √(6 + -2) or simply ±2.

Winner: none 🤯

Since there is no winner for today, 1 HIVE has been distributed proportionally to the previous days' winners who are also active on D.Buzz. 💰

• @jfang003 gets 0.700 HIVE
• @eturnerx-dbuzz gets 0.200 HIVE
• @holovision gets 0.100 HIVE

Mentions: @holovision and @ahmadmanga (@ahmadmangazap) 🤔
Special mentions: @chrisrice and @jancharlest 🤯