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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
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
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