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TSI Mathematics Videos 144 videos

TSI Math: Understanding Points of Intersection
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Two parabolas are graphed in the coordinate plane. Parabola A is a function, and parabola B is not a function. What is the maximum number of points...

TSI Math: Solving a Quadratic Equation for x
5 Views

What is x for the equation 2x² + 36 = -18x?

TSI Math: Finding a Line's x-Intercept Given a Point on that Line
4 Views

Which of the following points is a location where the function f(x) = -2x² + 12x + 54 crosses the horizontal axis?

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TSI Math: Adding and Simplifying Fractions 4 Views


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Description:

What is the sum of and ?


Transcript

00:01

Okay sy match members Here we go What is this

00:04

Some of twenty seven over x squared minus eighty one

00:06

and three Acts over x squared minus 80 one Yeah

00:14

So today's our lucky day these two fractions already have

00:17

the same denominator right there Go right ahead and add

00:19

the numerator is right So we got twenty seven plus

00:22

three x Now we need to think about what we

00:24

can cancel Well we'll have to factor the numerator and

00:27

the denominator factor A three out of the numerator they're

00:30

on We've got three times quantity nine plus x and

00:34

then x squared minus eighty one Well that's x plus

00:37

nine and x minus nine It looks just like that

00:40

right You were tipped off that x squared and then

00:43

nothing x and then a number there That's perfect square

00:46

usually is a big hint on these kind of problems

00:48

so recognize it All right well then we have nine

00:50

plus acts is uh well x plus nine So cancel

00:54

this factor from both sides of the fraction and we're

00:56

left with three over x minus nine So the answer

01:00

is b and that's it for ah goodbye to this 00:01:03.448 --> [endTime] section

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