Solve 2-12x^42 - ScanMath

Question

Simplify the expression

2 - 24 x^{4}

Evaluate

2 - 12 x^{4} \times 2

Solution

2 - 24 x^{4}

Show Solution

2 (1 - 12 x^{4})

Evaluate

2 - 12 x^{4} \times 2

Multiply the terms

2 - 24 x^{4}

Solution

2 (1 - 12 x^{4})

Show Solution

x_{1} = - \frac{4 108}{6}, x_{2} = \frac{4 108}{6}

Alternative Form

x_{1} \approx - 0.537285, x_{2} \approx 0.537285

Evaluate

2 - 12 x^{4} \times 2

To find the roots of the expression,set the expression equal to 0

2 - 12 x^{4} \times 2 = 0

Multiply the terms

2 - 24 x^{4} = 0

Move the constant to the right-hand side and change its sign

- 24 x^{4} = 0 - 2

Removing 0 doesn't change the value,so remove it from the expression

- 24 x^{4} = - 2

Change the signs on both sides of the equation

24 x^{4} = 2

Divide both sides

\frac{24 x ^{4}}{24} = \frac{2}{24}

Divide the numbers

x^{4} = \frac{2}{24}

Cancel out the common factor 2

x^{4} = \frac{1}{12}

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

x = \pm 4 \frac{1}{12}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{12}

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

\frac{4 1}{4 12}

Simplify the radical expression

\frac{1}{4 12}

Multiply by the Conjugate

\frac{4 1 2 ^{3}}{4 12 \times 4 1 2 ^{3}}

Simplify

\frac{2 4 108}{4 12 \times 4 1 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

412 \times 4 1 2^{3}

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

4 12 \times 1 2^{3}

Calculate the product

4 1 2^{4}

Reduce the index of the radical and exponent with 4

12

\frac{2 4 108}{12}

Cancel out the common factor 2

\frac{4 108}{6}

x = \pm \frac{4 108}{6}

Separate the equation into 2 possible cases

x = \frac{4 108}{6} x = - \frac{4 108}{6}

Solution

x_{1} = - \frac{4 108}{6}, x_{2} = \frac{4 108}{6}

Alternative Form

x_{1} \approx - 0.537285, x_{2} \approx 0.537285

Show Solution