Question

Twenty times a square of a positive integer plus 50 equals negative 40 times the square of the positive integer plus one-hundred and ten times the positive integer. Which equation could be used to solve for the unknown positive integer.

Answer 1

Let "x" be the positive integer
Twenty times a square of a positive integer plus 50:
20x² + 50
Negative 40 times the square of the positive integer plus one-hundred and ten times the positive integer:
-40x² + 100x

The equation could be used is shown below:
20x² + 50 = -40x² +100x
20x² + 40x² -100x + 50 = 0
60x² - 100x +50 =0