Call the smaller of the two odds = n
Call the next number in the sequence = n + 2
n*(n +2) = 782 Remove the brackets.
n^2 + 2n = 782 Subract 782 from both sides.
n^2 + 2n - 782 = 0 We are going to have to factor this.
Discussion
This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.
For example, you could use 783, (which factors) instead of 782 .
Solve
n^2 + 2n - 783 = 0
(n + 29)(x - 27) = 0
<u>Solution One</u>
n - 27 = 0
n = 27
The two odd consecutive integers are 27 and 29.
<u>Solution Two</u>
n + 29 = 0
n = - 29
The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.
Answer:
1.25
Step-by-step explanation:
Because they are equal triangles, all of their sides are equal
so, lets take one side of each triangle (4, 5)
the law:
the scale factor = the larger side ÷ the smaller side
x = 5 ÷ 4
x = 1.25
For checking:
the larger side = the smaller side × the scale factor
Y = 4 × 1.25
Y = 5
When you cant simplyfy it anymore
X^2 + 2 = x + 8
x^2 - x + 2 - 8 = 0
x^2 - x - 6 = 0
Input 1 => 1^2 - 1 - 6 = 1 - 1 - 6 = -6
Input 3 => 3^2 - 3 - 6 = 9 - 3 - 6 = 0
Input 4 => 4^2 - 4 - 6 = 16 - 4 - 6 = 6
Input 5 => 5^2 - 5 - 6 = 25 - 5 - 6 = 14
Solution set { -6, 0, 6, 14}
