Question

If m = 5 - √24, find the values of (m + 1/m) and m^2 +1/m^2.​

Answer 1

Step-by-step explanation:

1. m+1/m

5-√24 +1/5-√24

{ (5-√24)(5-√24) +1} / 5-√24

{5²+(√24)²-2×5×√24 +1 } / 5-√24

{ 25+24+1-10√24} / 5-√24

{50-10√24}/5-√24

= 10