Question

Calcule as raízes da seguinte equação: 4x4 – 9x² + 2 = 0. *​​

Answer 1

As raízes da equação de segundo grau são :

${{\boxed{{\boxed{\Large{\boxed{\rm { x=\sqrt{2} \: }}}}}}}}$

${{\boxed{{\boxed{\Large{\boxed{\rm { x= -\sqrt{2} \: }}}}}}}}$

Montando as raízes :

$4\times4-9x^{2} +2=0\\\\\\16-9x^{2} +2=0\\\\\\18-9x^{2} =0\\\\\\-9x^{2} =-18\\\\\\x^{2} =\dfrac{-18}{-9} \\\\\\x^{2} =2\\\\\\x=\sqrt{2} \\x=-\sqrt{2}$

${{\boxed{{\boxed{\blue{\boxed{\Large{\rm { ATT: Miguel \: }}}}}}}}}$