Question

What about this one @Diyadiya
Given the following perfect square trinomial, fill in the missing term.

x^2 − 16x + ____

Answer 1

1

Answer 2

So it would be 8?

Answer 3

Do using the discriminant method

b^2 - 4ac =0 (since it is a perfect square trinomial )
and find c

Answer 4

(-16)^2 -4*1*c =0

Answer 5

can you continue ?

Answer 6

What is (-16)^2 ?

Answer 7

clearly it would be something like (ax + b)^2
expand to get (a^2)(x^2) + b^2 + 2abx
so a^2 = 1 and 2ab = 16 i.e. ab = 8
a= 1 or -1 so if a =1 then b=8
and if a = -1, b = -8
so it is
(-x - 8)^2 or (x + 8)^2
also we can write the first as [(-1)^2](x+8)^2
which is (x+8)^2
so both the answers are same and the final answer is (x+8)^2

Answer 8

256

Answer 9

256 - 4*1*c =0
256 - 4c =0
add 4c on both sides
256 - 4c +4c =4c
256 = 4c

Now divide both sides by 4

what do you get?

Answer 10

64

Answer 11

Yes 64 is the missing term :)

Answer 12

Ohh.....

Answer 13

So you square then divide.

Answer 14

Square ? No

Use this formula b^2 - 4ac =0 (Since its PST )

Substitute the values of b , a & c (here we have to find c ,so let c remain like that )

Answer 15

I see

Answer 16

@careless850 didn't you get my way...??

Answer 17

:)

Answer 18

@Savvy No.

Answer 19

Tooo complicated. i like the abc method.

Answer 20

ok.....do as u are comfortable with...

Answer 21

:)