Question

The product of two consecutive odd integers is 63. Find the numbers
1. What information is given?
2. What are you asked to find?
3. Write a representation using variable x. 4. What is the working equation?
5. Solve the equation and check the answer​

Answer 1

Answer:

Step-by-step explanation:

You may denote the smaller of the two consecutive odd numbers as x;  then the next odd integer number is (x+2).

   In this way, you get this equation

      x*(x+2) = 63.

   You reduce it then to the standard algebraic form

      x^2 + 2x - 63 = 0.

   You may solve it by factoring  

      (x+9)*(x-7) = 0

   which gives you the roots  x= -9,  x= 7.

   The first root gives the solution (the pair) (-9,-7);  the other root gives you the pair (7,9).

   We just observed these pairs in the above version 1) and 2).

   You also may solve equation (1) using the quadratic formula.