Solve 44100-4m^410

Question

Simplify the expression

44100 - 40 m^{4}

Evaluate

44100 - 4 m^{4} \times 10

Solution

44100 - 40 m^{4}

Show Solution

20 (2205 - 2 m^{4})

Evaluate

44100 - 4 m^{4} \times 10

Multiply the terms

44100 - 40 m^{4}

Solution

20 (2205 - 2 m^{4})

Show Solution

m_{1} = - \frac{4 17640}{2}, m_{2} = \frac{4 17640}{2}

Alternative Form

m_{1} \approx - 5.762284, m_{2} \approx 5.762284

Evaluate

44100 - 4 m^{4} \times 10

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

44100 - 4 m^{4} \times 10 = 0

Multiply the terms

44100 - 40 m^{4} = 0

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

- 40 m^{4} = 0 - 44100

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

- 40 m^{4} = - 44100

Change the signs on both sides of the equation

40 m^{4} = 44100

Divide both sides

\frac{40 m ^{4}}{40} = \frac{44100}{40}

Divide the numbers

m^{4} = \frac{44100}{40}

Cancel out the common factor 20

m^{4} = \frac{2205}{2}

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

m = \pm 4 \frac{2205}{2}

Simplify the expression

More Steps

Evaluate

4 \frac{2205}{2}

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

\frac{4 2205}{4 2}

Multiply by the Conjugate

\frac{4 2205 \times 4 2 ^{3}}{4 2 \times 4 2 ^{3}}

Simplify

\frac{4 2205 \times 4 8}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

42205 \times 48

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

4 2205 \times 8

Calculate the product

417640

\frac{4 17640}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

42 \times 4 2^{3}

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

4 2 \times 2^{3}

Calculate the product

4 2^{4}

Reduce the index of the radical and exponent with 4

2

\frac{4 17640}{2}

m = \pm \frac{4 17640}{2}

Separate the equation into 2 possible cases

m = \frac{4 17640}{2} m = - \frac{4 17640}{2}

Solution

m_{1} = - \frac{4 17640}{2}, m_{2} = \frac{4 17640}{2}

Alternative Form

m_{1} \approx - 5.762284, m_{2} \approx 5.762284

Show Solution