Question

Cube roote=" - 4 \sqrt[3x]{x + 25 = 35} " alt=" - 4 \sqrt[3x]{x + 25 = 35} " align="absmiddle" class="latex-formula">

Answer 1

Answer:

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

Step-by-step explanation:

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