Answer:
We can use [tex]60\cdot x^2+50-110\cdot x=0[/tex] equation to solve for the unknown positive integer x,
Step-by-step explanation:
Given: 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.
We have to write an equation that could be use to solve for the unknown positive integer.
We first write the given expression mathematically,
Let the unknown positive integer be x.
Then , 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.
written mathematically as ,
[tex]20\cdot x^2+50=-40\cdot x^2+110\cdot x[/tex]
Taking, all term to right side, we get,
[tex]20\cdot x^2+50+40\cdot x^2-110\cdot x=0[/tex]
Simplify, we get,
[tex]60\cdot x^2+50-110\cdot x=0[/tex]
Thus, we can use [tex]60\cdot x^2+50-110\cdot x=0[/tex] equation to solve for the unknown positive integer x,
