Question

The product of two positive consecutive odd numbers is $143$ find the numbers

• A. $11,-13$
• B. $13,15$
• C. $11,15$
• D. None .

Answer 1

The correct option is A $11,-13$

Let the numbers be $x,x+2$

The product is $143$

$x(x+2)=143x^2+2x=143x^2+2x-143=0x^2+13x-11x-143=0x(x+13)-11(x+13)=0(x-11)(x+13)=0x=11,-13$

So the numbers are $11,-13$