h, h +1
h(h+1) = 272
h^2 + h = 272
h^2 + h -272 = 272-272
h^2 + h -272 = 0
(h -16)(h + 17) = 0
h = 16
h = -17
-16, -17, and 16, 17
How do i get 2 consecutive numbers (pair numbers) that they product is 272?
4X² + 4X - 272=0
3 answers
x = first number
y = second number
y = x + 1
x * y = 272
x * ( x + 1 ) = 272
x ^ 2 + x = 272
x ^ 2 + x - 272 = 0
Solutions :
x = - 17
and
x = 16
For x = - 17
y = x + 1 = - 17 + 1 = - 16
x * y = - 17 * ( - 16 ) = 272
For x = 16
y = x + 1 = 16 + 1 = 17
x * y = 16 * 17 = 272
So solutions are :
- 17 and - 16
and
16 and 17
y = second number
y = x + 1
x * y = 272
x * ( x + 1 ) = 272
x ^ 2 + x = 272
x ^ 2 + x - 272 = 0
Solutions :
x = - 17
and
x = 16
For x = - 17
y = x + 1 = - 17 + 1 = - 16
x * y = - 17 * ( - 16 ) = 272
For x = 16
y = x + 1 = 16 + 1 = 17
x * y = 16 * 17 = 272
So solutions are :
- 17 and - 16
and
16 and 17
Yes.Both are all solution.
Proof
x(x+1)= 272
16(16+1) = 272
16(17) =272
272 = 272
-17(-17+1) = 272
-17(-16)= 272
272 = 272
Proof
x(x+1)= 272
16(16+1) = 272
16(17) =272
272 = 272
-17(-17+1) = 272
-17(-16)= 272
272 = 272