Solve 39100-4m^460

Question

Simplify the expression

39100 - 240 m^{4}

Evaluate

39100 - 4 m^{4} \times 60

Solution

39100 - 240 m^{4}

Show Solution

20 (1955 - 12 m^{4})

Evaluate

39100 - 4 m^{4} \times 60

Multiply the terms

39100 - 240 m^{4}

Solution

20 (1955 - 12 m^{4})

Show Solution

m_{1} = - \frac{4 211140}{6}, m_{2} = \frac{4 211140}{6}

Alternative Form

m_{1} \approx - 3.572657, m_{2} \approx 3.572657

Evaluate

39100 - 4 m^{4} \times 60

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

39100 - 4 m^{4} \times 60 = 0

Multiply the terms

39100 - 240 m^{4} = 0

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

- 240 m^{4} = 0 - 39100

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

- 240 m^{4} = - 39100

Change the signs on both sides of the equation

240 m^{4} = 39100

Divide both sides

\frac{240 m ^{4}}{240} = \frac{39100}{240}

Divide the numbers

m^{4} = \frac{39100}{240}

Cancel out the common factor 20

m^{4} = \frac{1955}{12}

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

m = \pm 4 \frac{1955}{12}

Simplify the expression

More Steps

Evaluate

4 \frac{1955}{12}

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

\frac{4 1955}{4 12}

Multiply by the Conjugate

\frac{4 1955 \times 4 1 2 ^{3}}{4 12 \times 4 1 2 ^{3}}

Simplify

\frac{4 1955 \times 2 4 108}{4 12 \times 4 1 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

41955 \times 24108

Multiply the terms

4211140 \times 2

Use the commutative property to reorder the terms

24211140

\frac{2 4 211140}{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 211140}{12}

Cancel out the common factor 2

\frac{4 211140}{6}

m = \pm \frac{4 211140}{6}

Separate the equation into 2 possible cases

m = \frac{4 211140}{6} m = - \frac{4 211140}{6}

Solution

m_{1} = - \frac{4 211140}{6}, m_{2} = \frac{4 211140}{6}

Alternative Form

m_{1} \approx - 3.572657, m_{2} \approx 3.572657

Show Solution