Question

Resolva a equação biquadrada: 4x4-36x2=0

Answer 1

4x⁴ - 36x² = 0          Simplifica tudo por 4
x⁴ - 9x² = 0

Agr considere:
x⁴ - 9x² = y² - 9y

y² - 9y = 0
Bhaskara
-9² - 4.1.0
81 - 0
Delta = 81

-b +/- √Δ /2a
-(-9) +/- √81 / 2.1
9 +/- 9 /2

y1 = 9+9/2 = 18/2 = 9
y2 = 9-9/2 = 0/2 = 0

Agr vamos achar o valor de x:

x1 = √y1 = √9 = 3
x2 = -√y1 = -√9 = -3
x3 = √y2 = √0 = 0
x4 = -√y2 = -√0 = 0

Bons estudos

Answer 2

Resposta:

$\huge{\boxed{\boxed{ \tt \: 4x^4-36x^2=0\: }}}\\\\\huge{\boxed{\boxed{ \tt \:4u^2-36u=0 \: }}}\\\\>>>\huge{\boxed{\boxed{ \tt \:U=X\: }}}<<<\\\\\huge{\boxed{\boxed{ \tt \:4u^2-36u=0 \: }}}\\\\\huge{\boxed{\boxed{ \tt \:u=9,\:u=0 \: }}}\\\\\huge{\boxed{\boxed{ \tt \:x=3,\:x=-3,\:x=0 \: }}}$

Explicação passo a passo: