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harkovskaia [24]
3 years ago
12

Cube root

e=" - 4 \sqrt[3x]{x + 25 = 35} " alt=" - 4 \sqrt[3x]{x + 25 = 35} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

\large\boxed{x=-\dfrac{44,475}{64}}

Step-by-step explanation:

-4\sqrt[3]{x+25}=35\\\\\left(-4\sqrt[3]{x+25}\right)^3=35^3\\\\-4^3(x+25)=42,875\\\\-64(x+25)=42,875\qquad\text{use distributive property}\\\\-64x-1,600=42,875\qquad\text{add 1,600 to both sides}\\\\-64x=44,475\qquad\text{divide both sides by (-64)}\\\\x=-\dfrac{44,475}{64}

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