The product of two consecutive integers is 3,906. Find the integers.
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Let one number be x and the consecutive number is therfore x + 1
Product = x(x+1)
3,906= ×^2 + x
x^2 + x - 3906 = 0
× = [- b +/-root of (b^2 - 4ac)/]2a
= [-1 +/- root of (1^2 - 4 × 1 × - 3906)]/2× 1
= [-1 +/- root of (1 + 15624)]/2
= [-1 +/- root of 15625]/2
= [-1 +/- 125]/2
x = (-1 + 125)/2 and x = (-1 -125)/2
= 124/2 x = -126/2
= 62 x = -63
When x = 62, x + 1 = 63
62 × 63 = 3906
Therefore the numbers are 62 and 63
Hope it helps
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