ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Math Videos 91 videos
What is the area of the square in square units?
What is the length of the line segment?
What is the distance between the points (-5, 3) and (3, 9)?
ACT Aspire Math: Finding the Roots of a Quadratic Equation 5 Views
Share It!
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
Full Transcript
- 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
Related Videos
Which of the following sentences provides the best description of the events in the passage?
Lucy runs to the edge of Kensington Gardens because...
Immediately before Lucy lays her hand on her father's knee, she was...
In contrast to Lucy's reaction to the lady, Mr. Rayburn's reaction is characterized by:
Mr. Rayburn is most likely reading the newspaper in order to: