05 - Solving Radical Equations & Identifying Extraneous Solutions - Part 1

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In this lesson, we will learn how to solve radical equations, which are equations in algebra that contain radical expressions. The basic technique is to move all radicals to one side of the equal sign, then square both sides of the equation in order to remove the radicals. Then we can solve as usual. We must be careful however because we might introduce extraneous solutions which we will need to check for in the final answer by substitution into the original equation.

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Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

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Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

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Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

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[@simpleman283]

Good lesson, but I'm glad this is not a classroom setting where I could not take a little time to think, at 22:06 I had to pause the video till I could figure out how 3x X 3x = 9x^ It took me a few minutes, but I got it, 3 X 3 = 9 and x X x = x^ edit: a minute and a half letter I realise how much more I'm going to have to learn.

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thank you sir

[@farhadkhalasi108]

When I look at solving radical equations part 5 unit 8 but it is not here so what can I do then?

[@theMiaow]

I hope someone can help, but I’m wondering what’s the equivalent definition of “Conjugate surds” in the US curriculum? Just like how outside of US exponents are called indices, what’s conjugate surds in US called?

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3(2)-5/2=2

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radical equation

[@shawn6062]

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/18-2

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/25-7

[@touhami3472]

5sqrt(x)=3x-2 (1) BEFORE SQUARING INCLUDE : 3x-2 must be POSITIF as is equal to 5sqrt(x) wich POSITIF. Therfore equation (1) is EQVT to: 3x-2>=0 ===> x>=2/3 D of validity 25x = (3x-2)^2 ==> x=1/9 or x=4 IN D So S= { 4 } x=1/9 is not D ==> it is not solution

[@ilvkng]

7:44

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/32-7=5

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3(7)-5/7=2

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19:54

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/4x-3=5

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6-5/2=2

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/2x-7=5

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4

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21-5/7=2

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WHAT ITS HALF AN HOUR

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2x=5-3=2

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2x/2=2

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2(1)+3=5

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/16

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2x+3=5

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3x(2)=6

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3x-/x=3

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/18

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/2x2-7=5

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3x-5/x=2

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5=5

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(5)(5)=25

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3x/x=2+5=7

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Can I take your school clas

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Can I take your school class

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3x=2+5=7

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/x=5

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2=2

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2+3=5

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As

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x=2-1=1

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x=7+3=10

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1+1=2

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x=10/2

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1x=2

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x=1

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x=10/5

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x=7

[@xan6990]

Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

[@racquelsabesaje4562]

2x+3=5

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3x-5/x=2

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5=5

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x=2

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3x-5/x=2

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3x-5/x=2