Cox Peterson
09/10/2024 · Elementary School
a) \( x^{3}-8=0 \) d) \( x^{3}+4=0 \);
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Tutor-Verified Answer
Step-by-step Solution
Система уравнений:
a) \( x^{3}-8=0 \)
b) \( x^{3}+4=0 \)
Нам нужно решить эти уравнения.
Solve the equation by following steps:
- step0: Solve for \(x\):
\(x^{3}-8=0\)
- step1: Move the constant to the right side:
\(x^{3}=0+8\)
- step2: Remove 0:
\(x^{3}=8\)
- step3: Simplify the equation:
\(\sqrt[3]{x^{3}}=\sqrt[3]{8}\)
- step4: Calculate:
\(x=\sqrt[3]{8}\)
- step5: Evaluate:
\(x=2\)
Solve the equation \( x^{3}+4=0 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(x^{3}+4=0\)
- step1: Move the constant to the right side:
\(x^{3}=0-4\)
- step2: Remove 0:
\(x^{3}=-4\)
- step3: Simplify the equation:
\(\sqrt[3]{x^{3}}=\sqrt[3]{-4}\)
- step4: Calculate:
\(x=\sqrt[3]{-4}\)
- step5: Use the properties of radicals:
\(x=-\sqrt[3]{4}\)
Решение системы уравнений:
a) \( x=2 \)
b) \( x=-\sqrt[3]{4} \)
Таким образом, решения уравнений:
a) \( x=2 \)
b) \( x=-\sqrt[3]{4} \)
Quick Answer
a) \( x=2 \)
b) \( x=-\sqrt[3]{4} \)
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