X ^ 2-4x + 1'in kökleri alfa & beta ise, alfa ^ beta * beta ^ alfa?

X ^ 2-4x + 1'in kökleri alfa & beta ise, alfa ^ beta * beta ^ alfa?
Anonim

Cevap:

# A ^ p * p ^ a ~~ 0.01 #

Açıklama:

Kökler:

#, X = (4 + -sqrt ((- 4) ^ 2-4)) / 2 #

#, X = (4 + -sqrt (16-4)) / 2 #

#, X = (4 + -sqrt12) / 2 #

#, X = (4 + -2sqrt2) / 2 #

# x = 2 + sqrt3 veya 2-sqrt3 #

# A ^ p * p ^ a = (+ SQRT3 2) ^ (2-SQRT3) * (2-SQRT3) ^ (2 + SQRT3) ~~ 0.01 #