Pregunta
Identify the first step when solving for x in the following equation. \( \sqrt{4 x}=x-2 \) Divide by 4 on both sides. Square both sides. Subtract x from both sides. Add 2 to both sides.
Ask by Schultz Huff. in the United States
Mar 08,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The first step is to square both sides.
Solución
The first step is to eliminate the square root by squaring both sides.
Starting with
\[
\sqrt{4x} = x-2,
\]
we square both sides to obtain
\[
(\sqrt{4x})^2 = (x-2)^2.
\]
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Como
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Extra Insights
The first step to solving \( \sqrt{4 x} = x - 2 \) is to square both sides. This eliminates the square root, giving you \( 4x = (x - 2)^2 \). Just remember, squaring both sides might introduce extraneous solutions, so you'll want to check your answers at the end! Once you have squared both sides, you can expand the right-hand side to get \( 4x = x^2 - 4x + 4 \). Then, tantalizingly combine like terms to form a quadratic equation, which is always a fun challenge! Keep those mathematical gears turning!

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