Question

If 5 times the square of an integer is added to 3 times the integer, the result is 2. Find the integer. (Simplify your answer completely.)

Answer 1

Hello from MrBillDoesMath!

Answer:  x = -1

Discussion:

Let x be the unknown integer. Then

5 x^2 + 3x = 2 or

5x^2 + 3x -2 = 0  or   (factoring)

(x+1) ( 5x -2) = 0

so x = -1  (the other value of x, +2/5, is not an integer)

Thank you,

MrB