Question

Resolva a equacao biquadrada x4-26X2+25=0

Answer 1

x² = y
y² -26y + 25= 0.
Delta= (-26)²-4.(100)= 676-100= 576...

y= 26+-24/2
y'= 25
y''= 1

x²= 25...x= -5;+5
x²= 1.......x= -1;+1
Solução={-5;-1;1;5}

Answer 2

x^4 = y²
y² - 26y + 25 = 0
/\ = (-26)² - 4*1*25
/\ = 676 - 100
/\ = 576
y = (-(-26+/- \/576)/2
y = (26+/-24)/2
y' = (26+24)/2 --> y' = 50/2 --> y' = 25 --> x' = \/25 --> x' = +/- 5
y" = (26-24)/2 --> y" = 2/2 --> y" = 1 --> x" = +/- \/1 --> x" = +/- 1

S: {-1, +1, -5, +5}