Question 674598
1. The absolute value of a number is the same as the product of five and a number. Please translate for me...
Makes no sense but the equation for the statement is:
|x| = 5x
:
2. The product of two consecutive integers is three more than the later integer.
Let the two integers = x, (x+1)
then
x*(x+1) = (x+1) + 3
x^2 + x = x + 4
Combine like terms on the left, a quadratic equation;
x^2 + x - x - 4 = 0
x^2 - 4 = 0
The difference of squares factor to:
(x-2)(x+2 = 0
Two solutions
x = 2
x = -2
Check both solutions in the original statement