easy way -- what are two factors of 63 that are close together?
algebraic way
x(x+2) = 63
x^2 + 2x - 63 = 0
Now we're back to the original question. Factors of 63 that differ by 2.
another way
63 = 8^2-1 = (8-1)(8+1)
Write a quadratic equation to find two consecutive odd natural numbers whose product is 63. Then find the numbers.
1 answer
1 answer