Pregunta
Find all real solutions of the equation. (Enter your answers as a comma-separated list.) \[ 4 x^{2}-100=0 \]
Ask by Bowen Montgomery. in the United States
Jan 22,2025
Solución de tutoría real
Respuesta verificada por el tutor
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The real solutions are 5 and -5.
Solución
To solve the equation:
\[ 4x^2 - 100 = 0 \]
1. **Add 100 to both sides:**
\[ 4x^2 = 100 \]
2. **Divide both sides by 4:**
\[ x^2 = 25 \]
3. **Take the square root of both sides:**
\[ x = \pm 5 \]
So, the real solutions are:
**Answer:** 5,-5
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Simplifique esta solución Mind Expander
To solve the equation \( 4x^2 - 100 = 0 \), first, add 100 to both sides: \[ 4x^2 = 100. \] Next, divide both sides by 4: \[ x^2 = 25. \] Now, take the square root of both sides: \[ x = \pm 5. \] Thus, the real solutions are: \[ 5, -5. \]
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