Question

the product of two consecutive odd integers is equal to 675 find the two integer​

Answer 1

Answer:

Let us take the first number as x and the second number as x+2 now we get the equation as

x×(x+2)=675

x  ²+2x=675

Here to make both the sides a perfect square we add 1 to both the sides and get,

x  

2

+2x+1=675+1

(x+1)  

2

=676

x+1=  

676

x+1=26

x=26−1

x=25

So the two consecutive numbers are

x=25 and

x+2=27

As the product of the two numbers is 675 both these numbers can either be positive or negative.

Ans: 25 and 27

or -25 and -27

Answer 2

Answer:

25 and 27 or, -25 and -27

Step-by-step explanation:

let the two consecutive odd integers be X and X+2

ATQ,

X(X+2) = 675

solve this quadratic equation, and you will get two values of X, 25 and -27

so by substituting the values of X we get the two odd integers 25 and 27, or -25 and -27