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TSI Math: Recognizing the Correct Factors to Solve an Equation 10 Views
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Description:
Which of the following are the solutions to the equation c² – 4c = 12?
- 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
- 00:02
Okay yes i'm ash jumpers We've got another one were
- 00:04
thrown at your head here Which of the following are
- 00:06
the solutions to the equations He squared minus four c
- 00:09
equals twelve And we're just going to go right ahead
- 00:16
and subtract twelve and make this thing equal to zero
Full Transcript
- 00:19
before even start Okay well math tests are more enjoyable
- 00:23
if we think of them like holidays Yeah we do
- 00:25
that sort of At the very least they're an excuse
- 00:28
to hum classic tunes like holly jolly math test and
- 00:31
a joy to important and plain under our breath You
- 00:34
tried out sometimes when you're bored like you are right
- 00:37
now Yeah we know gain inspiration for this question by
- 00:40
switching the mental record overto a rousing rendition of do
- 00:43
you see what i see squared we want sing right
- 00:46
now C squared minus force equals twelve isn't in the
- 00:49
old standard form so yet we're good here with equal
- 00:51
to zero right Well on the top of our holiday
- 00:54
wish list is for this try no amiel to factor
- 00:57
because the leading coefficient is one would just focus on
- 01:00
the factor pairs of the constant there that negative twelve
- 01:03
thing so we've got well negative one times files one
- 01:06
factor than one times think of twelve getting to positive
- 01:10
six and then nigga screening forward but but but but
- 01:13
so all Right so we're thinking about this The coefficient
- 01:15
of the ex term reveals that the correct factor pair
- 01:18
must add to negative four there's only one way to
- 01:22
do that We get negative six and positive too and
- 01:25
they'll build binomial factors of c minus six and c
- 01:28
plus two you know and like santa and his list
- 01:31
check the factors twice multiply them together to see if
- 01:33
they result in the original equation So when we'll do
- 01:36
this thing you see money sex and people too And
- 01:38
then first time first we got seaside c and then
- 01:41
inside and then the outside is twelve zero c squared
- 01:47
minus forty minus twelve Zero yeah so now that we're
- 01:49
sure we have the correct factories ation we'll just set
- 01:52
each factor equal to zero and solve for c and
- 01:55
we got c money six zero or c equal six
- 01:57
and c plus to a zero So c equals negative
- 02:00
too Even if our math tradition sounded fake is a
- 02:02
hallmark holiday While the solution six and negative two are
- 02:05
enough reason to celebrate its answer B
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