Pregunta
Kris solved the radical equation
and found that
or
.
Which statement correctly describes the solution set of the radical equation?
(1 point)
or
or
Which statement correctly describes the solution set of the radical equation?
(1 point)
Ask by Carrillo Ball. in the United States
Dec 17,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The correct statement is:
or
.
Solución

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Como
Beyond the Answer
To solve the radical equation
, we first need to isolate the radical. Rearranging gives us
. Squaring both sides, we get
. Expanding the right side leads us to
. Rearranging this into standard form results in
, which factors to
, giving us the potential solutions
and
.
However, we must check these solutions back in the original equation to ensure they are valid. When substituting
, it gives
, which is false. But substituting
yields
, which is correct.
Thus, the correct answer that describes the solution set of the radical equation is
or
.
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