Isabell 5.a viser hvordan man regner ligninger

Matematik: Vi tager 2 besværlige ligninger og løser dem ud fra de 2 overordnede regler. 1: Hvad du gør (ændrer af vægt) på den ene side af lighedstegnet, skal du også gøre (/ændre) på den anden. 2: Hvad er spørgsmålet i opgaven? Isolér denne på den ene side af lighedstegnet og få svaret på den anden.

På denne hjemmeside kan du hente et pdf dokument på én side, der hjælper dig igennem ligninger fra start til slut! http://kennc.dk/Ligninger%20-%....20Fremgangsmetode%20

Matematiklærer Henrik Esager viser hvordan man løser en ligning fra matematikbogen.


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En ligning med to ukjente har uendelig mange løsninger. Har vi derimot to ligninger, så kan vi finne ut hva de ukjente er. Dette kan gjøres på flere måter, og her får du se hvordan man løser et ligningssett med to ukjente ved hjelp av innsettingsmetoden. Trikset da er å få én av de ukjente alene på den ene siden av likhetstegnet.

Denne video handler om, hvordan du kan løse ligninger af første grad med én ubekendt, der er i videoen medtaget flere eksempler af forskellige sværhedsgrader på ligninger og hvordan de skal løses. Videoen er tiltænkt grundforløbselever på den erhvervsfaglige indgang Strøm og IT, men selvfølgelig er andre interesserede meget velkomne til at kigge med.
Benyt eventuelt denne oversigt til at navigere i videoen:
Hvad er en ligning 0:03
Grundlæggende regler 0:47
At addere samme tal på begge sider 5:07
At subtrahere samme tal på begge sider 9:39
At multiplicere med samme tal på begge sider 12:42
At dividere med samme tal på begge sider 20:41
Ligninger med flere led 24:21
Ligninger med flere led og parenteser 30:05
Det var det 36:43

Link til min video om parenteser: https://youtu.be/k4VpnZqqi9o
Link til min video om reduktion: https://youtu.be/cp5uyyGI_qU

Gode huskeregler når du arbejder med ligninger. Hvordan du reducere en ligning og hvordan du finder den ubekendte. (X)

En ligning hvor den ubekendte x er i eksponenten af en potens, hvilket betyder vi er nød til at bruge logaritmen (10-tals logaritmen) for at få x isoleret.

x skal "logges" ned fra potensen.

Fra https://youtu.be/HG-vpugJMvk

Hvordan du løser en ligning

Her lærer du en systematisk måde at løse ligninger på, der ruster dig til at kunne løse mere komplicerede ligninger.

Sådan løses ligninger hvor der indgår logaritmer og potenser.

En video, som forklarer hvordan man løser ligninger hvori der optræder parenteser.

Det er en god idé at se videoerne Ligninger 3 (https://www.youtube.com/watch?v=2EpJtgq4ASw&t) og Ligninger 4 (https://www.youtube.com/watch?v=AT5fcEve3xs&t) inden du går i krig med denne.

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This algebra video tutorial explains how to solve exponential equations using basic properties of logarithms and natural logs. Examples include factoring trinomials as well.

Logarithms - The Easy Way! https://www.youtube.com/watch?v=kqVpPSzkTYA

Log to Exponential Form:
https://www.youtube.com/watch?v=f0C1KL7GkqY

Change of Base Formula:
https://www.youtube.com/watch?v=FFm-zaFW_X4

Change of Base Log Problem:
https://www.youtube.com/watch?v=p7hD9VdXv9U

Properties of Logarithms:
https://www.youtube.com/watch?v=Jtv9Lnf7Zw8

____________________________________
Expanding Logarithmic Expressions:
https://www.youtube.com/watch?v=OIz-5MyJA3g

Condensing Logarithmic Expressions:
https://www.youtube.com/watch?v=luRrOlsB4cY

Natural Logarithms:
https://www.youtube.com/watch?v=daUlTsnCNRQ

Solving Exponential Equations:
https://www.youtube.com/watch?v=9tutJ5xrRwg

Exponential Equations - Quadratic Form:
https://www.youtube.com/watch?v=yNgmVu0R_T8

_______________________________________
Solving Logarithmic Equations:
https://www.youtube.com/watch?v=fnhFneOz6n8

Graphing Logarithmic Functions:
https://www.youtube.com/watch?v=-nptxS9rZNA

Graphing Exponential Functions:
https://www.youtube.com/watch?v=DASfP8KAyvs

Compound Interest Word Problems:
https://www.youtube.com/watch?v=Hn0eLcOSQGw

Logarithms Practice Problems:
https://www.youtube.com/watch?v=7DVbQKI600k

_______________________________________
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A video revising the techniques and strategies for solving quadratic equations by factorising - Higher and Foundation

This video is part of the Algebra module in GCSE maths, see my other videos below to continue with the series focussed on Algebra.

Useful videos to watch before this one:

Factorising Quadratics (Higher & Foundation) | GCSE Maths Tutor - https://youtu.be/CPzWzl3U5Gg

Factorising Harder Quadratics (Higher Only) | GCSE Maths Tutor - https://youtu.be/DEoeiFTODAU

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Revision videos:

The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - https://youtu.be/8A3crqKb13I

Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - https://youtu.be/o9VuZhCqR2U

All The Topics You NEED To Know For The 9-1 Maths GCSE 2020 (Higher) - https://youtu.be/qT-M7C1cNTg

More videos in the Algebra series:

All of Algebra in just over 1 hour!!! - https://youtu.be/LPKH04Nw8Zk

Part 1 - Graph Transformations - https://youtu.be/zbMoDKVjzUM
Part 2 - Inverse Functions - https://youtu.be/EdQYcAsu7wA
Part 3 - Composite Functions - https://youtu.be/3C-9P0AlXwo
Part 4 - Iterations - https://youtu.be/HwJLVERnuag
Part 5 - Algebraic Proof - https://youtu.be/JsIRYmteGf8
Part 6 - Solving Quadratic Equations - https://youtu.be/kmeL4a3lG5w
Part 7 - The Quadratic Formula - https://youtu.be/q64qaxLAR9U
Part 8 - Quadratic Simultaneous Equations - https://youtu.be/AEThlXbZT1s
Part 9 - Algebraic Fractions (Part 1) - https://youtu.be/S7LRqg2_M7o
Part 10 - Harder Algebraic Fractions (Part 2) - https://youtu.be/zGWgx8xkQeY
Part 11 - Solving Equations with Algebraic Fractions -

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