First of all you know it wiill be a positive slope as both the rise and the run are negative. a negative divided by a negative equals a positive. so you can plot the points (2,3) and (-2,-3) as they will be points on this line. next you take a straight line and place it so that both points are intercepted. then extend the line outwards.
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:
Let the sides be a and b
a^2 + b^2 = c^2 = 29^2 = 841
a^2 + (a + 1)^2 = 841
a^2 + a^2 + 2 a + 1 = 841
2 a^2 + 2 a = 840
a (a + 1) = 420
21 * 20 = 420 trial and error
So the sides are 20 and 21
20^2 + 21^2 = 29^2
Say our problem was the square root of 4. You would look for what two numbers multiplied by themselves would equal that number. We know 2 multipled by 2 is equal to 4. (Aka 2^2).
Hope this helps.
Answer:
4/5
Step-by-step explanation: