Dawson Huff
01/27/2023 · Primary School
- \( (x-6)^{2}+4=10 \)
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Tutor-Verified Answer
Step-by-step Solution
Para resolver la ecuación \( (x-6)^{2}+4=10 \), primero restamos 4 de ambos lados:
\[ (x-6)^{2} = 10 - 4 \]
\[ (x-6)^{2} = 6 \]
Luego, tomamos la raíz cuadrada de ambos lados para eliminar la potencia:
\[ x-6 = \pm\sqrt{6} \]
Por último, sumamos 6 a ambos lados para encontrar la solución de \( x \):
\[ x = 6 \pm \sqrt{6} \]
Por lo tanto, las soluciones son:
\[ x = 6 + \sqrt{6} \]
\[ x = 6 - \sqrt{6} \]
Quick Answer
Las soluciones son \( x = 6 + \sqrt{6} \) y \( x = 6 - \sqrt{6} \).
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