The product of 2 consecutive is 48,find the number.

Answer 1

your question more than likely said
"consecutive even numbers", since no two consecutive numbers have a product of 48

Let the first even number be x
then the next even number is x+2
so
x(x+2) = 48
x^2 + 2x - 48 = 0
(x+8)(x-6) = 0
x = -8 or x=6

so the two consecutive even integers are either 6 and 8 or -8 and -6

If you insist the question is as you typed it, then

x(x+1) = 48
using the quadratic equation would give you x = (-1+√193)/2

so the two numbers are either
(-1+√193)/2 and (1+√193)/2, or
(-1-√193)/2 and (1-√193)/2

(6.44622 and 7.44622 have a product of
47.99997)