Pregunta
and 5 are substracted and added respectively
from a positive number. The produce of the rwo
news numbers obtoined is 140 Find the number
from a positive number. The produce of the rwo
news numbers obtoined is 140 Find the number
Ask by Goodwin Logan. in Malaysia
Dec 07,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The equation is
. To find the positive number
, use the quadratic formula with
,
, and
.
Solución
Let the positive number be
. According to the problem, when
is subtracted from
, we get
, and when 5 is added to
, we get
.
The product of these two new numbers is given as:
Expanding this equation, we have:
Rearranging gives:
This is a quadratic equation in the form
, where:
To find the positive number
, we can use the quadratic formula:
Substituting
,
, and
:
This simplifies to:
To find a specific value for
, we need a specific value for
. If
is not specified, we cannot find a unique solution for
.
If you have a specific value for
, please provide it, and we can solve for
. Otherwise, the solution will depend on the value of
.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
Let’s denote the positive number as
. According to the problem, when
is subtracted from
, the new number is
. When 5 is added to
, the new number is
.
The product of these two new numbers is given as 140, which leads us to the equation:
Now, let’s simplify the left-hand side:
Rearranging gives us the equation:
This is a quadratic equation in the standard form
. The specific values for
would be necessary to solve for
. Let’s assume
just for calculation:
Now we can solve for
using the quadratic formula:
Substituting
:
Calculating the two possible
values yields
or
. Since
must be positive, we find:
Thus, the positive number is approximately 11.49.
Would you like to explore any specific value for
or another approach entirely?
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