Use the quadratic formula to find the zeros of the function. y = 16x2 + 40x + 25 A. {-1.25, 1.25} B. {-1.25} C. {-4, 5} D. {-0.8}
Quadratic formula \[(-b \pm \sqrt{b^2-4ac})/2a\] where a, b, c \[ax^2+bx+c=0\]
Can you see why you need to use the quadratic formula now?
ok Go on the steps to solve it confuse me cuz there so long.
so in your case, 16=a, 40=b, 25=c. Plug them into the equation that Romero showed you.
You want to find the zeros of function Y right? that means y=0 first do that you get \[16x^2+40x+25=0\]
mkay wow go on that makes so much more sense than anything my teachers are saying does
like jessie said a =16 b=40 c=25 now plug them in the equation I gave you on top.
ok then i will then what do i do u dont have to give me the answer i just need the simple non confusing steps ur giving me.... ^^
The \[\pm\]means that you have to do one with + and one with - so it makes sense that you should get two values. You should be able to plug them in and whatever you get is the answer for X
ok ill plug them in for you but you work it out
ok i will i dont need the answer! lol just the steps!
a= 16 b=40 c=25 \[x= (-b \pm \sqrt{b^2-4ac})/2a\] so if I plug them in I get \[x= (-40 + \sqrt{40^2-4*16*25})/(2*16)\] \[x= (-40 - \sqrt{40^2-4*16*25}) / (2*16) \]
so just do all the multiplication division etc and you should get your answers
OH!!!! Ok thank you thank you!! xD
I plugged the first numbers in and then i got 8.75 as my answer... but thats not on the options!
check your signs!!
i did!! thats why it took so long!
Ignore the rest, and look under the radical. Start 40^2, which is 1600. Then look at the rest of what is under the radical. Do -4x16x25. Do you get -1600? So the square root of 1600-1600 is 0.
Are we good to there?
yea i got that
but i didnt get the 1600 part for the first part i accidentally
put 4 because i squared the 40 then wasnt thinking and then i got the square root which was.. 40
so then would you do -40 + 32 ?
wait no im confused
Well remember, 2x16 is 32, but your not adding, you are dividing.
So You would have -40 plus the square root of all that junk that turned out to be zero.
-40/32 is -1.25
ohhhhh so u dont add?
wow ok thx i didnt even see that!!!
No. At the end, you set your equation OVER 2a. In other words, divide it by 2a.
ohhhhh ok?
http://www.regentsprep.org/Regents/math/algtrig/ATE3/quadsongs.htm memorize the equation, if you're in Algerbra or Algerbra 2 you're gonna use it again!
algebra*
ok thx!!! ya im in Algebra IIthe only reason im bad is because of all the confusing steps!!!! :P but thx u helped me ALOT!!!
No problem.
What a pun
wait wait so i wrote the problem down like this: x = (-b + - Square root of… B^2 – 4ac /2a
and then were we doing b^2 - 4ac or somethin?
bc i didnt understand why i would divide by 2a again which was 32
wait ok im confused UGH! i thought i got it!!!
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