Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solutions are
and
.
Solución
To solve the equation:
Step 1: Isolate the Absolute Value
Subtract 2 from both sides to isolate the absolute value term:
Step 2: Remove the Absolute Value
An absolute value equation
has two solutions:
and
. Apply this to the equation:
-
First Case:Subtract 5 from both sides:Divide by -10:
-
Second Case:Subtract 5 from both sides:Divide by -10:
Step 3: State the Solutions
The equation has two solutions:
Verification:
It’s always good to check the solutions in the original equation.
-
For
: -
For
:
Both solutions satisfy the original equation.
Final Answer:
The solutions are
and
.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
To solve the equation
, we first isolate the absolute value expression. We subtract 2 from both sides:
Now, we consider the two cases for the absolute value:
For the first case,
:
For the second case,
:
Thus, the solutions to the equation
are
and
.
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