Solve 2025-5x^64 - ScanMath

Question

Simplify the expression

2025 - 20 x^{6}

Evaluate

2025 - 5 x^{6} \times 4

Solution

2025 - 20 x^{6}

Show Solution

5 (405 - 4 x^{6})

Evaluate

2025 - 5 x^{6} \times 4

Multiply the terms

2025 - 20 x^{6}

Solution

5 (405 - 4 x^{6})

Show Solution

x_{1} = - \frac{6 6480}{2}, x_{2} = \frac{6 6480}{2}

Alternative Form

x_{1} \approx - 2.1589, x_{2} \approx 2.1589

Evaluate

2025 - 5 x^{6} \times 4

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

2025 - 5 x^{6} \times 4 = 0

Multiply the terms

2025 - 20 x^{6} = 0

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

- 20 x^{6} = 0 - 2025

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

- 20 x^{6} = - 2025

Change the signs on both sides of the equation

20 x^{6} = 2025

Divide both sides

\frac{20 x ^{6}}{20} = \frac{2025}{20}

Divide the numbers

x^{6} = \frac{2025}{20}

Cancel out the common factor 5

x^{6} = \frac{405}{4}

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

x = \pm 6 \frac{405}{4}

Simplify the expression

More Steps

Evaluate

6 \frac{405}{4}

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

\frac{6 405}{6 4}

Simplify the radical expression

More Steps

Evaluate

64

Write the number in exponential form with the base of 2

6 2^{2}

Reduce the index of the radical and exponent with 2

32

\frac{6 405}{3 2}

Multiply by the Conjugate

\frac{6 405 \times 3 2 ^{2}}{3 2 \times 3 2 ^{2}}

Simplify

\frac{6 405 \times 3 4}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

6405 \times 34

Use n a = mn a^{m} to expand the expression

6405 \times 6 4^{2}

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

6 405 \times 4^{2}

Calculate the product

66480

\frac{6 6480}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 3 2^{2}

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

3 2 \times 2^{2}

Calculate the product

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{6 6480}{2}

x = \pm \frac{6 6480}{2}

Separate the equation into 2 possible cases

x = \frac{6 6480}{2} x = - \frac{6 6480}{2}

Solution

x_{1} = - \frac{6 6480}{2}, x_{2} = \frac{6 6480}{2}

Alternative Form

x_{1} \approx - 2.1589, x_{2} \approx 2.1589

Show Solution