If the product of two positive consecutive odd integers is 63, what’s the larger number ?

For this case we have:

: Let the variable representing the first odd number

: Let the variable representing the consecutive odd number at x.

According to the statement we have:

We found the solution by factoring:

We look for two numbers that, when multiplied, result in -63 and when added, result in 2. These numbers are +9 and -7.

Thus, we have:

Therefore the solutions are:

We choose the positive value, so we have:

The largest number is 9

step-by-stp

the correct answer is the section c