Question

roots for a quadratic equation using the quadratic formula:

Answer 1

\[32x ^{2}+100x+63\]

Answer 2

Must be equal to 0..

Answer 3

formula :\[\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]

Answer 4

o yes sorry forgot the zero

Answer 5

Yes..

Can you use this formula??

Answer 6

what they said factor.. not find the roots

Answer 7

can i still use the formula?

Answer 8

But read your question..

Answer 9

Question is to find the roots..

Answer 10

i made a mistake, the book said factor the give trinomial

Answer 11

Normal factorization becomes lengthy I guess..

Answer 12

yes but using the formula would be wrong right? because i used the formula and got it wrong until I did normal factorization..

Answer 13

\(32*63 = 2016\)

Can you make its factors such that sum will be 100..

Answer 14

okay, i did that but why did you multiply the coefficients?

Answer 15

See in case:

\[ax^2 + bx + c = 0\]

If a is 1, then we simply make factors of c..

If a is not 1 then we should make factors of ac..

Answer 16

oh yes:
____ x____ = ac
__ + ____= b

Answer 17

Yep..

Answer 18

Got the factors or not?

I have got..

But I will let you try once..

Answer 19

okay I got the answer using another method:
factors of 32: (1,32) (4,8) (2,16)
factors of 63: (1,63) (9,7) etc
then multiply the factors: (4)(7) + (9)(8) = b = 100
then xs together and ys together (4x+9)(8x+7) =)

Answer 20

I got the factors as 28 and 72..

Yes you got the same..

Answer 21

okay thank you :)

Answer 22

Well Done you are right..

Answer 23

Welcome dear..

Answer 24

thank you, I think what confused me was the factoring and the roots.. because when I used the formula it came out wrong

Answer 25

Using quadratic formula ??

Answer 26

yes, maybe I went wrong somewhere.. but if I used the formula I was looking for roots and not factors

Answer 27

Let me check..

Answer 28

okay (:

Answer 29

\[D = b^2 - 4ac = 1936\]

\[\sqrt{D} = \sqrt{1936} = 44\]

\[x = \frac{-100 \pm 44}{2 \cdot 32}\]

\[\implies x = -\frac{9}{4}\]

\[\implies x = -\frac{7}{8}\]

Yes it is coming right..

Answer 30

okay you are write, I was getting weird decimals thats why.. so either method works :)

Answer 31

They are both same..

This will never happen that you will get different answers for both..

Remember this..