biquadratic

• 指与四次幂有关的；描述四次多项式或四次方程的。

Relating to the fourth power; describing a polynomial of degree four.

1. Fourth-degree polynomialC2formalscientific

   Relating to or being a polynomial of the fourth degree, often expressed in the form ax⁴ + bx³ + cx² + dx + e.

   双二次的

   • The mathematician solved the biquadratic equation using substitution.
   • A biquadratic function can have up to four real roots.
   • The graph of a biquadratic polynomial typically has a W or M shape.

   同义词quartic

2. Fourth-degree equationC2formalscientific

   An algebraic equation of the fourth degree, often reducible to a quadratic form.

   双二次方程

   • The biquadratic equation x⁴ - 5x² + 4 = 0 can be solved by letting y = x².
   • Biquadratic equations are a special case of quartic equations.
   • He derived a biquadratic equation from the original problem.

   同义词quartic

• 指代数中四次方程或四次多项式，即次数为四的方程或多项式；也指与四次（四次幂）相关的事物。

A noun referring to an algebraic equation or polynomial of the fourth degree, or something relating to the fourth power.

1. Algebraic equation of the fourth degreeC2formalscientific

   An equation in which the highest power of the variable is four, often expressed in the form ax⁴ + bx³ + cx² + dx + e = 0.

   四次方程

   • The mathematician solved the biquadratic using substitution methods.
   • Biquadratics can sometimes be reduced to quadratics by letting y = x².
   • He studied the properties of biquadratic equations in his advanced algebra class.

   同义词quartic

2. Polynomial of the fourth degreeC2formalscientific

   A polynomial expression where the highest exponent of the variable is four.

   四次方程

   • The function f(x) = x⁴ - 5x² + 4 is a biquadratic polynomial.
   • Biquadratic polynomials often have symmetric roots.
   • She factored the biquadratic into two quadratic expressions.

   同义词quartic