Question

w^2-6w+?

Answer 1

Fill in the blank to make the expression a perfect square.

Answer 2

Hi Sangya21!

Answer 3

w^2 + (sum of numbers)w + (product of numbers) = 0
w^2 - 6w + ? = 0
sum = -6 = a+b
sum can be (0, -6); (-1, -5); (-2, -4); (-3,-3)
as we have to find perfect square, then a = b
thus sum = -3 -3
a= -3, b =-3
product = 9

Verification
w^2 -6w +9 = 0
w^2 - 3w -3w +9 = 0
w(w -3) -3(w -3) = 0
(w-3)(w-3) = 0
(w-3)^2= 0

Answer 4

Hi @ColeSales

Answer 5

Thank you.

Answer 6

Anytime :)

Answer 7

For x^2 + bx + _
to make it a perfect square, divide b by 2, and square it, then put that amount in the blank spot.

Eg. x^2 + 8x + _

Divide 8 by 2 which is 4. Square 4 to get 16, so 16 goes in the blank.