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biquadratic equation

/ˌbaɪkwɒˈdrætɪk ɪˈkweɪʒən/

翻译: 数学术语,指四次多项式方程,通常形式为 ax⁴ + bx² + c = 0,可通过令 u = x² 的换元法化为二次方程求解。

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phrase

/ˌbaɪkwɒˈdrætɪk ɪˈkweɪʒən/C2formalscientific
  • zh数学术语,指四次多项式方程,通常形式为 ax⁴ + bx² + c = 0,可通过令 u = x² 的换元法化为二次方程求解。

A mathematical term referring to a polynomial equation of the fourth degree, typically in the form ax⁴ + bx² + c = 0, which can be solved by substituting u = x² to reduce it to a quadratic equation.

  1. Quartic polynomial equationC2formal

    A polynomial equation of the fourth degree, typically in the form ax⁴ + bx² + c = 0, where a, b, and c are constants and a ≠ 0.

    zh双二次方程

    • The mathematician solved the biquadratic equation by substituting y = x².
    • In algebra class, we learned how to factor a biquadratic equation.
    • The biquadratic equation x⁴ - 5x² + 4 = 0 has four solutions.