Solve 4-12x^42 - ScanMath

Question

Simplify the expression

4 - 24 x^{4}

Evaluate

4 - 12 x^{4} \times 2

Solution

4 - 24 x^{4}

Show Solution

4 (1 - 6 x^{4})

Evaluate

4 - 12 x^{4} \times 2

Multiply the terms

4 - 24 x^{4}

Solution

4 (1 - 6 x^{4})

Show Solution

x_{1} = - \frac{4 216}{6}, x_{2} = \frac{4 216}{6}

Alternative Form

x_{1} \approx - 0.638943, x_{2} \approx 0.638943

Evaluate

4 - 12 x^{4} \times 2

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

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

Multiply the terms

4 - 24 x^{4} = 0

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

- 24 x^{4} = 0 - 4

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

- 24 x^{4} = - 4

Change the signs on both sides of the equation

24 x^{4} = 4

Divide both sides

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

Divide the numbers

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

Cancel out the common factor 4

x^{4} = \frac{1}{6}

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

x = \pm 4 \frac{1}{6}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{6}

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

\frac{4 1}{4 6}

Simplify the radical expression

\frac{1}{4 6}

Multiply by the Conjugate

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

Simplify

\frac{4 216}{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{4 216}{6}

x = \pm \frac{4 216}{6}

Separate the equation into 2 possible cases

x = \frac{4 216}{6} x = - \frac{4 216}{6}

Solution

x_{1} = - \frac{4 216}{6}, x_{2} = \frac{4 216}{6}

Alternative Form

x_{1} \approx - 0.638943, x_{2} \approx 0.638943

Show Solution