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Intermediate Algebra and Functions Videos 36 videos

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Description:

Which of the following values of x is a solution of the equation 5x² + 5x = 10?


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

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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