quadratic equations help this is the process of completing the square by the way.... x+8 = +- √ 121 the +- is a plus or minus sign then it simplifies to x+8 = +- 11 so now what you'd do is subtract 8 from both sides so it's x= -8 +- 11 but why don't you subtract 8 from 11? and why do we have to have a +- sign with radicals? if this question does make sense go here http://www.youtube.com/watch?v=gzm-uhj06q8&feature=relmfu at 06:00
i meant if this equation doesn't make sense
in the last sentence
Khan Academy? Hmm That seems reliable
what do you mean?
Ah doesnt :P lol Nvm
but still... why don't you subtract 8 from 11?
Well, when you get + - 11 and you have to add 8 to it, it leads to 2 answers + 11 - 8 -11 - 8 Radicals have + - because if you square +11 x +11 = 121 -11 x -11 = 121
wait so in 9 +- 3 √ 33 over -18, why do you divide evertying by 3 intstead of adding/subtracting it to 9?
Oh because 9, (+-) 3, and 18 have a common multiple of 3 9/3 = 3 3/3 = 1 18/3 = 6
but why can't you add 9 to 3?
is it because it's being multiplied by a radical?
Because it is 3 has a radical with it..You need the same randical on both terms to complete an operation =) Yes
wait so... why are you able to divide it?
Only if the bottom denominator has a radical, you can't divide it..But since it is an alone constant, you can =) During addition or substraction you cant.. Like 3 +- 3 square root 5 ----------------- 12 is equal to 1 + - 1 square root 5 ----------------- 4
thanks, do you learn this when you learn dividing radicals?
Anytime =) Divinding radicals is a different concept
oh wait please then ... can you put what you said in kid friendly terms because i don't fully understand sorry
Which part?
like, how is 3 +- 3 square root 5 ----------------- 12 is equal to 1 + - 1 square root 5 ----------------- 4
Well, you see all of them have a common multiple.. 3 can be divided by 12 to be 3/12 = 1/4 (+-)3/12 = (+-) 1/4 Now just fill in the blanks 1 + - 1 sqaure root 5 ---------------- 4
ok so back to 9 +- 3 √ 33 over -18 the only reason you divided is to simplify it?
nevermind... i need to relearn adding and multiplying radicals
Yep to simplify it =)
That'd help =)
Join our real-time social learning platform and learn together with your friends!