What value(s) of x satisfy the above equation?

Passport to Advanced Math | Operations with rational expressions |

Product Type | SAT Math |

SAT | SAT Math |

SAT Math | Numbers and Operations Passport to Advanced Math |

Test Prep | SAT Math |

all about overthrowing modern society And having everyone make a

living is a butter churn Er what can we do

to change this radical into something a little more civilization

friendly Well square both sides of the equation for one

So let's just go do that thing And we've got

then to X minus five is the quantity x minus

four squared What Looks like we have a much less

anti social quadratic on our hands Now multiply out the

term on the right and then gather all the light

terms on one side of equations that gets us Was

that X square than minus Its foreign minus eight Acts

plus 4 square 16 Then we had to explain it's

five over here So let's just get that over here

Two zeros we're gonna add five there gets twenty one

then we're going to subtract two x here so it

gets is already on the ten X ofthe equation is

X squared minus ten x plus twenty one Oh I

see A three and seven Our future Now it's factoring

time So what is it while X minus three and

X minus seven right Well the solutions to this quadratic

equation are X equals three and seven rights Opposite sign

there That was negative SARS or positive which isn't the

correct answer See they would've fooled you with tea there

We don't want the solutions to this quadratic equation We

want the solutions to the radical equation we started with

So we have to plug in three to the original

equation though and no dear things go awry How so

While we get two times three that's six months five

is three months for a square root of one is

negative Once a one equals negative one How can that

be Yeah taking the square root of something I won't

ever give us a negative number So our only solution

is X equal seven So you've got to get rid

of the native one Just keeping a really well