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TSI Math: Solving a Difference of Two Squares 2 Views
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Description:
Which of the following are the solutions to the equation 9z² – 4 = 0?
Which of the following are the solutions to the equation 9z² – 4 = 0?
- Test Prep / TSI
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- TSI / TSI Math
- TSI / TSI Mathematics
- TSI Mathematics / Intermediate Algebra and Functions
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
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
Full Transcript
- 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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