# SAT Math: Rearranging Given Information to Form a Quadratic Equation

Which of the following equivalent equations best reveals the possible locations on the roller coaster where boarding or disembarkation takes place?

 Passport to Advanced Math Solving quadratic equations Product Type SAT Math SAT SAT Math SAT Math Algebra and FunctionsPassport to Advanced Math Test Prep SAT Math

### Transcript

00:16

is defined to be why Zero All right The question

00:19

here which of the following equivalent equations best reveals the

00:23

possible locations on the roller coaster where boarding or AH

00:27

disembarking or vomiting takes place after the ride is finished

00:35

Like Southwest Airlines You know you got the A and

00:37

the B and the losers and see weigh them All

00:40

right What are we looking for here Nothing Absolutely nothing

00:43

Say it again before you let out a whoop and

00:45

move onto the next problem here Us out The nothing

00:48

we need to find here are the zeros i e

00:51

The ex intercepts because that's the height at which passengers

00:54

board right You're going to board on ground level and

00:56

then you take off So we have a quadratic tried

01:00

and true method going forward here Factor it If we

01:02

can and set the whole thing equal to zero we'll

01:05

just skip that last step because well we want the

01:07

equation with why intact That makes the X intercepts stand

01:12

out like you know my grandma Metallica Okay well there's

01:17

equation and then they were going to factor it out

01:19

So we're gonna pull out a negative x here and

01:21

next there and then a three Tempting to fifteen actually

01:23

See the naked forty five to the equation has a

01:26

clean factored form available here And it's why equals negative

01:31

X plus three and Acts minus 15 and answers a 00:01:35.67 --> [endTime] no roller coaster there That was a easy ride