Question

X elevado a 4 - 13 x elevado a 2 + 36 = 0 ​

Answer 1

x⁴ - 13x² + 36 = 0

x² = y

y² - 13y + 36 = 0

a = 1

b = -13

c = 36

_______________

Δ = b² - 4 . a . c

Δ = (-13)² - 4 . 1 . 36

Δ =  169 - 144

Δ = 25

_______________

x = ( -b +- √Δ) / 2 . a

x = ( 13 +- √25) / 2 . 1

x = ( 13 +- 5) / 2

x' = ( 13 + 5) / 2

x' = 18/2

x' = 9

x'' = ( 13 - 5) / 2

x'' = 8/2

x'' = 4

x² ' = y

x² ' = 4

x ' = ±√4

x ' = ± 2

x² '' = y

x² '' = 9

x '' = ±√9

x '' = ±3

Resposta: ± 3, ±2