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ACT Aspire Math Videos 91 videos

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ACT Aspire Math: Finding the Roots of a Quadratic Equation 5 Views


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Description:

What are the roots of the quadratic equation x2 + 7x = 60?


Transcript

00:02

Okay Match bumpers Another one for you What are the

00:04

roots of the quadratic equation X squared plus seven x

00:07

equals sixty So before we can find the roots While

00:15

we need to set this puppy equal to zero by

00:17

subtracting sixty from both sides And yes that's right Tell

00:22

this quadratic what a total zero it is Go ahead

00:24

yell at it like you're drake raging it Kendrick perkins

00:28

you know about the hymn of his capris So we

00:30

have x squared plus seven Acts minus 60 is 0

00:34

Now think of the two Numbers that multiply 2 negative

00:36

60 and add up to seven Keeping in mind that

00:39

the bigger number must be negative since their product is

00:42

a negative number And there some is a positive number

00:44

while the Numbers 10 and negative 6 months played sixty

00:47

but their sums for so that can't be it The

00:49

Numbers 12 in negative 5 apply to negative sixty and

00:52

they add up to seven So yeah bingo Now we

00:55

can factor our first step to solving the problem So

00:58

we have x plus twelve and then x minus five

01:00

Well twelve and five are both prominently featured in two

01:03

of our answer choices A nd right here before randomly

01:07

just choosing one Let's take a second to set each

01:09

of these terms equal to zero We can do this

01:12

because what we know their product is zero right Anything

01:15

Times zero zero set up the equation X plus twelve

01:18

is zero which gives us the route x is negative

01:21

Twelve Then if we set x minus five to zero

01:24

well that corresponds to the route x equals five so 00:01:27.523 --> [endTime] yeah ay is the correct answer

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