Repeated root

In conclusion, a repeated root is also called a double root because it solves a quadratic equation that can be factorize...

Repeated root

In conclusion, a repeated root is also called a double root because it solves a quadratic equation that can be factorized including a product that is a binomial ... ,2022年11月16日 — Section 3.4 : Repeated Roots. In this section we will be looking at the last case for the constant coefficient, linear, homogeneous second ...

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Repeated root 相關參考資料
3.3: Repeated Roots and Reduction of Order

2021年9月5日 — When there are repeated roots, one of the linearly independent solutions was easy to find, while for the other solution we assumed that it had ...

https://math.libretexts.org

Characteristic equation with repeated roots

In conclusion, a repeated root is also called a double root because it solves a quadratic equation that can be factorized including a product that is a binomial ...

https://www.studypug.com

Differential Equations - Repeated Roots

2022年11月16日 — Section 3.4 : Repeated Roots. In this section we will be looking at the last case for the constant coefficient, linear, homogeneous second ...

https://tutorial.math.lamar.ed

Multiple Root -- from Wolfram MathWorld

A multiple root is a root with multiplicity n>=2, also called a multiple point or repeated root. For example, in the equation (x-1)^2=0, 1 is multiple ...

https://mathworld.wolfram.com

Repeated Root - an overview

In this case, the characteristic equation is r2 − 2r + 1 = (r − 1)2 with repeated root r1,2 = 1. Therefore, a general solution of this equation is y(t) = c1et ...

https://www.sciencedirect.com

Repeated roots

Two distinct real roots: b2 - 4ac > 0. ( r1, r2 ) ii.A repeated real root: b2 - 4ac = 0. ( r ) iii.Two complex roots: b2 - 4ac < 0. ( r1,2 = α±iβ ) ay + by ...

https://wiki.math.ubc.ca

Repeated roots don't make sense to me : rlearnmath

2023年5月2日 — A repeated root simply means that it's derivative also has a root there. For example f(x)=x² has a root at x=0 and it's derivative f'(x)=2x has ...

https://www.reddit.com

Repeated roots of a polynomial

2016年4月8日 — Whenever a part of the graph of a polynomial is in the form of a parabola whose vertex touches the x axis we conclude that a root is repeated at ...

https://math.stackexchange.com