The product two consecutive odd numbers is 63find the number

Mathematics

1 answer:

anygoal [31]2 years ago

7 0

Answer:

These results, 7 and 9, have a product of 63, as stated.

Step-by-step explanation:

Represent the first odd number by x and the first consecutive odd number by x + 2. Then the product of these two numbers is x(x + 2) and it equals 63.

Solve for x. Perform the indicated multiplication, obtaining

x^2 + 2x - 63 = 0

Solve this by factoring: (x + 9)(x - 7) = 0

Then x could be either -9 or +7. If we let x = 7 then the first consecutive odd number is 7 + 2, or 9. These results, 7 and 9, have a product of 63, as stated.

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