Solve 12/|x^3|=2 - ScanMath

Evaluate

\frac{12}{∣ x ^{3} ∣} = 2

Find the domain

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\frac{12}{∣ x ^{3} ∣} = 2, x \neq = 0

Cross multiply

12 = x^{3} \times 2

Simplify the equation

12 = 2 x^{3}

Rewrite the expression

2 \times 6 = 2 x^{3}

Evaluate

6 = x^{3}

Swap the sides of the equation

x^{3} = 6

Separate the equation into 2 possible cases

x^{3} = 6 x^{3} = - 6

Solve the equation for x

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x = 36 x^{3} = - 6

Solve the equation for x

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x = 36 x = - 36

Check if the solution is in the defined range

x = 36 x = - 36, x \neq = 0

Find the intersection of the solution and the defined range

x = 36 x = - 36

Solution

x_{1} = - 36, x_{2} = 36

Alternative Form

x_{1} \approx - 1.817121, x_{2} \approx 1.817121

Solve the equation