Solve 12x^3x=14 - ScanMath

Question

Solve the equation

x_{1} = - \frac{4 1512}{6}, x_{2} = \frac{4 1512}{6}

Alternative Form

x_{1} \approx - 1.03929, x_{2} \approx 1.03929

Evaluate

12 x^{3} \times x = 14

Multiply

More Steps

Evaluate

12 x^{3} \times x

Multiply the terms with the same base by adding their exponents

12 x^{3 + 1}

Add the numbers

12 x^{4}

12 x^{4} = 14

Divide both sides

\frac{12 x ^{4}}{12} = \frac{14}{12}

Divide the numbers

x^{4} = \frac{14}{12}

Cancel out the common factor 2

x^{4} = \frac{7}{6}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 4 \frac{7}{6}

Simplify the expression

More Steps

Evaluate

4 \frac{7}{6}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{4 7}{4 6}

Multiply by the Conjugate

\frac{4 7 \times 4 6 ^{3}}{4 6 \times 4 6 ^{3}}

Simplify

\frac{4 7 \times 4 216}{4 6 \times 4 6 ^{3}}

Multiply the numbers

More Steps

Evaluate

47 \times 4216

The product of roots with the same index is equal to the root of the product

4 7 \times 216

Calculate the product

41512

\frac{4 1512}{4 6 \times 4 6 ^{3}}

Multiply the numbers

More Steps

Evaluate

46 \times 4 6^{3}

The product of roots with the same index is equal to the root of the product

4 6 \times 6^{3}

Calculate the product

4 6^{4}

Reduce the index of the radical and exponent with 4

6

\frac{4 1512}{6}

x = \pm \frac{4 1512}{6}

Separate the equation into 2 possible cases

x = \frac{4 1512}{6} x = - \frac{4 1512}{6}

Solution

x_{1} = - \frac{4 1512}{6}, x_{2} = \frac{4 1512}{6}

Alternative Form

x_{1} \approx - 1.03929, x_{2} \approx 1.03929

Show Solution