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Quadratic and Other Polynomial Expressions, Equations, and Functions Videos 18 videos

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Description:

Which of the following are the solutions to the equation 9z² – 4 = 0?


Transcript

00:03

Okay yes i match members Here we go Another problem

00:05

for you Which of the following of solutions to the

00:07

equation ninety squared minus for is zero A difference of

00:15

two scores isn't an argument between two shapes It's a

00:18

second degree equation with the general form of a squared

00:21

minus b squared that factors into a plus b a

00:24

minus b like that right Well ninety squared minus four

00:27

fits this form perfectly because both ninety squared and for

00:30

our perfect squares a and b square roots of each

00:33

term so equals three and b equals two And then

00:36

we could just plug and chug those values into the

00:38

general form to bring some peace to this you know

00:41

conflict the difference So a plus b times quantity a

00:44

minus b zero and then we've got three c plus

00:47

teo and i'm twenty three z minus two not zero

00:50

And then well we'll hug out a solution by setting

00:53

each factor equal to zero So three z plus two

00:56

zero that means three ze is negative too And z

01:00

is negative Two thirds got it so then three z

01:04

minus two is zero and three ze is too And

01:06

then z is just two thirds Okay well the solutions

01:09

have become such good friends They now refuse to be

01:12

separated because they have the same value But opposite signs

01:16

you know like opposites attract and a magnet thing you

01:18

know yeah right Um is z equals plus or minus

01:21

two thirds Yeah the answer is c as in cuddling

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