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TSI Math: Solving and Simplifying a Quadratic Equation 3 Views
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Description:
Which of the following values of x is a solution of the equation 5x² + 5x = 10?
- Test Prep / TSI
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- TSI / TSI Math
- TSI / TSI Mathematics
- TSI Mathematics / Intermediate Algebra and Functions
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
Transcript
- 00:01
Yeah Okay sy math from uppers and another one in
- 00:06
the quad Radically And for you which of the following
- 00:08
values of acts is a solution of the equation Five
- 00:11
x squared plus five x equals in Okay so this
- 00:16
is screaming quadratic equation here We're just going to subtract
Full Transcript
- 00:20
ten from both sides that normalize it that way And
- 00:23
that way we kind of think about this We can
- 00:25
simplify the equation by dividing both sides by five so
- 00:28
it'll give us x squared plus x minus two zero
- 00:31
makes it way simpler now we just need some factors
- 00:34
here so we've got x squared plus one x minus
- 00:38
two We always put the one in there to make
- 00:40
it easier to think about so let's see it's going
- 00:42
to be one times negative too or negative one times
- 00:47
positive to wealthy ex there is a positive one so
- 00:50
it's going to be negative one in positive too So
- 00:53
we get x minus one times x plus two equals
- 00:56
zero in the forensic there So to milk this equation
- 00:59
for solutions we've got to set each route equal to
- 01:01
zero to solve for x That just means the equation
- 01:04
x minus one equals zero yields The solution that x
- 01:07
equals one Any equation x plus two a zero yields
- 01:11
The solution x equals minus two even though x minus
- 01:14
one is a factor of the quadratic Well negative one
- 01:16
isn't one of our solutions and the rest of these
- 01:19
are all the trap So the answer is a negative 00:01:22.356 --> [endTime] too We're done
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