Solve 35200-2m^412

Question

Simplify the expression

35200 - 24 m^{4}

Show Solution

8 (4400 - 3 m^{4})

Show Solution

m_{1} = - \frac{2 4 7425}{3}, m_{2} = \frac{2 4 7425}{3}

Alternative Form

m_{1} \approx - 6.188464, m_{2} \approx 6.188464

Evaluate

35200 - 2 m^{4} \times 12

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

35200 - 2 m^{4} \times 12 = 0

Multiply the terms

35200 - 24 m^{4} = 0

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

- 24 m^{4} = 0 - 35200

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

- 24 m^{4} = - 35200

Change the signs on both sides of the equation

24 m^{4} = 35200

Divide both sides

\frac{24 m ^{4}}{24} = \frac{35200}{24}

Divide the numbers

m^{4} = \frac{35200}{24}

Cancel out the common factor 8

m^{4} = \frac{4400}{3}

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

m = \pm 4 \frac{4400}{3}

Simplify the expression

More Steps

m = \pm \frac{2 4 7425}{3}

Separate the equation into 2 possible cases

m = \frac{2 4 7425}{3} m = - \frac{2 4 7425}{3}

Solution

m_{1} = - \frac{2 4 7425}{3}, m_{2} = \frac{2 4 7425}{3}

Alternative Form

m_{1} \approx - 6.188464, m_{2} \approx 6.188464

Show Solution