Let's Solve A Cool Radical Equation

[@toveirenestrand3547]

By fast inspection x = 2.

[@mcwulf25]

I used the binomial expansions, which caused all the radicals to cancel out leaving 3^x + x(x-1)3^(x-2) + ... = 11 We can quickly see x

[@ManjulaMathew-wb3zn]

Another way to think. Both terms being raised to x th power are >1 so x cannot be negative which makes each term 4 so if x>=3 makes the first term alone >=64 so x

[@logancecic6791]

thumbnail wrong

[@ShortsOfSyber]

fixed now. thank you!

[@hitanshtiwari2784]

where do you get these problems

[@ShortsOfSyber]

books, internet, friends, and home-made