Twenty times a square of a positive integer, plus 50 equals negative 40 times the square of the positive integer, plus one-hundr

Question

4 years ago

5

Twenty times a square of a positive integer, plus 50 equals negative 40 times the square of the positive integer, plus one-hundr

ed and ten times the positive integer. Which equation could be used to solve for the unknown positive integer.
A) 60x2 + 110x + 50 = 0
B) 60x2 + 110x − 50 = 0
C) 60x2 − 110x + 50 = 0
D) 60x2 − 110x − 50 = 0

Mathematics

2 answers:

Anastasy [175] · Answer 1 · 2021-12-04T12:02:48+03:00

Answer:

c

Step-by-step explanation:

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.

A) 60x2 + 110x + 50 = 0

B) 60x2 + 110x − 50 = 0

C) 60x2 − 110x + 50 = 0

D) 60x2 − 110x − 50 = 0

Korolek [52] · Answer 2 · 2021-12-04T10:03:02+03:00

Equation used to solve for the unknown positive integer is $60x^2-110x+50=0$

So, Option C is correct.

Step-by-step explanation:

We need to write the equation from the statement given:

<em>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.</em>

Let the number is x

Now, the equation will be:

$20x^2+50=-40x^2+110x$

Simplifying the equation we get:

$20x^2+50=-40x^2+110x\\20x^2+40x^2-110x+50=0\\60x^2-110x+50=0$

Equation used to solve for the unknown positive integer is $60x^2-110x+50=0$

So, Option C is correct.

Keywords: Algebraic Expression

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