Jika akar x ^ 2-4x + 1 adalah alpha & beta maka alpha ^ beta * beta ^ alpha adalah?

Jawapan:

# alpha ^ beta * beta ^ alpha ~~ 0.01 #

Penjelasan:

Akar adalah:

# x = (4 + -sqrt ((- 4) ^ 2-4)) / 2 #

# x = (4 + -sqrt (16-4)) / 2 #

# x = (4 + -sqrt12) / 2 #

# x = (4 + -2sqrt2) / 2 #

# x = 2 + sqrt3 atau 2-sqrt3 #

# alpha ^ beta * beta ^ alpha = (2 + sqrt3) ^ (2-sqrt3) * (2-sqrt3) ^ (2 + sqrt3) ~~ 0.01 #