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TSI Mathematics Videos 144 videos

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Description:

Which of the following are the solutions to the equation c² – 4c = 12?


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

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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