Math, asked by copp39, 2 months ago

a^2+1/a^2 = 27, find only a-1/a

Answers

Answered by CopyThat
6

Given

  • a² + 1/a² = 27

To find

  • a - 1/a

Solution

✮(a-1/a)² = (a²+1/a²)-2

  • (a-1/a)² = (27 - 2) = 25

Square root on both sides

  • √(a-1/a)² = √25
  • (a - 1/a) = ±5

If a² + 1/a² = 27, then a - 1/a = ±5

Similar questions