#1**+1 **

Does this problem let usage of a calculator? Because I used a calculator to discover that *the factors of 1441 are 131 and 11*.

*To check if a number is prime

So knowing that 131 and 11 multiply to 1441, we can see that miraculously if you substitute **1 **for n in your equation 60^{n }+ k * 71^{n} you get 131*k. And since 11 multiplied by 131 is 1441, **k should be \(\boxed{11}\)**.

CalculatorUser18 juil. 2019

#1**+2 **

What I would do is use the quadratic formula.

Then add the squares of the roots. You would get a real number.

Here is practice for complex solutions to quadratics if you are having trouble on these types

CalculatorUser15 juil. 2019