Solve 64-(24x^4) 20

Question

Simplify the expression

64 - 480 x^{4}

Evaluate

64 - 24 x^{4} \times 20

Solution

64 - 480 x^{4}

Show Solution

32 (2 - 15 x^{4})

Evaluate

64 - 24 x^{4} \times 20

Multiply the numbers

More Steps

Evaluate

24 \times 20

Multiply the numbers

480

Evaluate

480 x^{4}

64 - 480 x^{4}

Solution

32 (2 - 15 x^{4})

Show Solution

x_{1} = - \frac{4 6750}{15}, x_{2} = \frac{4 6750}{15}

Alternative Form

x_{1} \approx - 0.604275, x_{2} \approx 0.604275

Evaluate

64 - (24 x^{4}) \times 20

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

64 - (24 x^{4}) \times 20 = 0

Multiply the terms

64 - 24 x^{4} \times 20 = 0

Multiply the numbers

64 - 480 x^{4} = 0

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

- 480 x^{4} = 0 - 64

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

- 480 x^{4} = - 64

Change the signs on both sides of the equation

480 x^{4} = 64

Divide both sides

\frac{480 x ^{4}}{480} = \frac{64}{480}

Divide the numbers

x^{4} = \frac{64}{480}

Cancel out the common factor 32

x^{4} = \frac{2}{15}

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

x = \pm 4 \frac{2}{15}

Simplify the expression

More Steps

Evaluate

4 \frac{2}{15}

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

\frac{4 2}{4 15}

Multiply by the Conjugate

\frac{4 2 \times 4 1 5 ^{3}}{4 15 \times 4 1 5 ^{3}}

Simplify

\frac{4 2 \times 4 3375}{4 15 \times 4 1 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

42 \times 43375

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

4 2 \times 3375

Calculate the product

46750

\frac{4 6750}{4 15 \times 4 1 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

415 \times 4 1 5^{3}

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

4 15 \times 1 5^{3}

Calculate the product

4 1 5^{4}

Reduce the index of the radical and exponent with 4

15

\frac{4 6750}{15}

x = \pm \frac{4 6750}{15}

Separate the equation into 2 possible cases

x = \frac{4 6750}{15} x = - \frac{4 6750}{15}

Solution

x_{1} = - \frac{4 6750}{15}, x_{2} = \frac{4 6750}{15}

Alternative Form

x_{1} \approx - 0.604275, x_{2} \approx 0.604275

Show Solution