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saul85 [17]
3 years ago
14

17........................

Mathematics
2 answers:
FrozenT [24]3 years ago
8 0

Answer:

a. 0.76,-0.76

Step-by-step explanation:

The given equation is;

-8=-3-6\sqrt[3]{x^2}

Add 3 to both sides of the equation to get;

-8+3=-3+3-6\sqrt[3]{x^2}

\Rightarrow -5=-6\sqrt[3]{x^2}

Divide both sides by -6.

\Rightarrow \frac{-5}{-6}=\sqrt[3]{x^2}

\Rightarrow \frac{5}{6}=\sqrt[3]{x^2}

Cube both sides of the equation;

\Rightarrow (\frac{5}{6})^3=x^2

\Rightarrow \frac{125}{216}=x^2

Take square root of both sides

\pm \sqrt{\frac{125}{216}}=x

\pm 0.76=x

\therefore x=0.76,-0.76

Alex Ar [27]3 years ago
6 0

Answer:

Step-by-step explanation:

First, add 3 to both sides:

-5 = -6∛(x²)

Next, divide both sides by -6, to isolate ∛(x²):

5/6 = ∛(x²)

Eliminate the radical by cubing both sides:

5³

---- = x²

6³

Finally, take the square root of both sides.  This will isolate x.  There will be two roots:  one +, the other -.

x = ±√(5³/6³)

This simplifies to:  ± (5/6)∛(5/6).

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