Question

X⁴-x² - 6 = 0 equação biquadrada pls

Answer 1

X⁴-x² - 6 = 0

∆= b² -4ac = (-1)² -4.1.(-6)= 25 => √∆=5

x'= -b+√∆/2a = 1+5/2= 3 => x'= ±√3 ✓ resp.

x''= -b-√∆/2a = 1-5/2= -2=> x''= ±√-2 = { }

Answer 2

Resposta:

x⁴-x²-6 = 0

x² = y

y²-y-6 = 0

a = 1, b = -1, c = -6

Δ = b²-4.a.c

Δ = (-1)²-4.1.(-6)

Δ = 1+24

Δ = 25

x = -b+√Δ

        2.a

x =  1+5

        2

x' = 1+5

        2

x' = 6

     2

x' = 3

y² = x

y² = 3

x = ±√3

x = ±1,73

x" = 1-5

       2

x" = -4

       2

x" = -2

y² = x

y² = -2

x = ±√-2

x = ±-1,41

Boa sorte!