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TSI Mathematics Videos 144 videos

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What is the equation of the line graphed above?

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TSI Math: Finding Solutions to an Equation through Factoring 6 Views


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Description:

Which of the following are the solutions to the equation -4x² + 2x + 6 = 0?


Transcript

00:02

Okay sy mass members here we go More expressions equations

00:05

functions Which of the following are the solutions to the

00:07

equation and negative for x squared plus two x plus

00:10

six Oh poor negative for expert plus two x plus

00:18

six equals zero Looks a little bloated Helped the equation

00:21

Shed some weight here and let's factor out some well

00:24

common factors It's More trouble than it's worth factor with

00:27

a negative leading coefficient right Well when negative for x

00:30

squared plus two x plus six jumps on the equation

00:33

Treadmill The first factor it sweats out is a negative

00:36

one there So pull the negative out of each term

00:38

by swapping the signs and then that's how we do

00:41

it Okay well each coefficient is even so too is

00:44

another common factor Let's Move it on out front as

00:47

well So we got negative two times This whole thing

00:49

in here The extra weight is still hovering around by

00:51

both sides of the equation by negative too To shed

00:54

it for good If only burning off the dozen donuts

00:56

alina here may not have eaten yesterday Were this easy

00:59

Don't ask Okay so here we go We got to

01:01

x squared minus x minus three is zero Well it

01:05

feels good to have a lighter equation to factor and

01:07

solved now because what leading coefficient of polynomial is to

01:11

the factor to x squared minus Acts minus 3 Well

01:16

we'll need to do ah little guessing and checking the

01:18

first step of guests and check involves listing all the

01:22

factors of the leading term Well in this case we

01:25

can guess that the first two terms are ex and

01:28

two x The second step is to find the factors

01:31

of the constant negative three Well the factors will either

01:34

be negative three and one or negative One and three

01:38

Right Well now it's Time to do some guessing at

01:41

fill in two of the possible factors in the second

01:44

term of each of your parentheses There right there Since

01:47

we know the outside terms will be multiplied together Well

01:49

it's probably a better idea to put a three on

01:51

the inside term since we know we're aiming for a

01:54

middle term of negative one acts right there Multiplying this

01:58

out using foil Get following The first two terms will

02:01

multiply two to x squared No surprise there The two

02:05

outside terms multiply to be positive Two Acts while the

02:08

2 inside terms will apply to a negative three x

02:11

and our final term yes is negative three Well again

02:14

no Surprise on that last one right there Yeah combined

02:17

like terms to see that we've actually hit the nail

02:20

on the head out with our first guests Well now

02:23

that the equations factored either to x minus three or

02:26

x plus one must equal zero for the entire equation

02:30

equals zero so we just set Each factor equals zero

02:33

and solve here so to x minus three zero two

02:35

exes three exes three halves or x plus one a

02:39

zero and x is negative one Well after only a

02:41

few minutes of solving the equation is cleansed of the

02:44

solutions so x equals three halves and x equals negative

02:48

one So that's a that's Our answer And we're going

02:52

to go look lovingly at the new crispy cream discount 00:02:55.02 --> [endTime] coupon ad Hello

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