Question

product of two consecutive odd numbers is 143, then find the numbers

Answer 1

Let x be the first odd number.
Then the second odd number is x+2 since there is a common difference of 2 between all odd numbers. 
Then x(x+2) = 143 
x^2 + 2x = 143 
x^2 + 2x -143 = 0 
What multiplies to -143 and adds to 2? 

It may take a while to think of the answer, but let's just think about this for a second.
We need two numbers that add up to 2. 
Start with -10 and 12 which is -120... too low
-11 and 13? -143... perfect. 
So we get (x-11) and (x+13) Which gives us x =11 and x=-13. It's not likely that our answer is negative, so let's stick with x =11. 
Then our second odd number is 11+2 = 13 
So our numbers are 11 and 13.

Answer 2

Answer:

Explanation:

First number: x

Second number:x+2

Given,

Product of two consecutive odd number is equal to 143

X(x+2)=143

X^2+2x-143=0

x^2+13x-11x-143=0. By splitting the middle terms

X(x+13)-11(x+13)=0

(x+13) (x-11)=0

X=-13,11

Hence, two consecutive odd number are -13 and 11

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