Qhov txawv ntawm Cov hauv paus hniav thiab Zeroes

2024 Tus sau: Alex Aldridge | [email protected]. Kawg hloov kho: 2023-12-17 13:40

Roots vs Zeroes

Lub hauv paus ntawm ib qho kev sib npaug yog tus nqi uas qhov kev sib npaug txaus siab. Ib qho kev sib npaug polynomial tuaj yeem muaj ib lossis ntau lub hauv paus nyob ntawm qhov degree ntawm polynomial; cov hauv paus hniav no tuaj yeem yog qhov tiag lossis nyuaj. Hauv lwm hom kev sib npaug, cov hauv paus hniav tuaj yeem yog qhov tseem ceeb lossis ua haujlwm. "Zeroes" yog lwm lo lus siv los hu cov hauv paus ntawm kev sib npaug.

For a function of form f (x)=0 values x₁, x₂, x_{3, ………x}n _{yog cov txiaj ntsig uas qhov sib npaug f (x) ploj mus. For x}1_{, x}2_{, x}3, ………x_n, sab laug-sab ntawm qhov sib npaug ntsuas rau xoom thiab qhov tseem ceeb x₁, x₂, x₃, ………x_n hu ua zeroes.

Shown below is the graph of the function f(x)=x³+ x²– 3x – e^x

Roots the equation f(x)=x³+ x²– 3x – e^{x=0 yog qhov x qhov tseem ceeb ntawm cov ntsiab lus A, B, C thiab D. Ntawm cov ntsiab lus no, tus nqi ntawm kev ua haujlwm dhau los ua xoom; yog li ntawd, cov hauv paus hniav hu ua zeroes.}