Solve m^25988/1-382

Question

Simplify the expression

5988 m^{2} - 382

Evaluate

m^{2} \times \frac{5988}{1} - 382

Divide the terms

m^{2} \times 5988 - 382

Solution

5988 m^{2} - 382

Show Solution

2 (2994 m^{2} - 191)

Evaluate

m^{2} \times \frac{5988}{1} - 382

Divide the terms

m^{2} \times 5988 - 382

Use the commutative property to reorder the terms

5988 m^{2} - 382

Solution

2 (2994 m^{2} - 191)

Show Solution

m_{1} = - \frac{571854}{2994}, m_{2} = \frac{571854}{2994}

Alternative Form

m_{1} \approx - 0.252575, m_{2} \approx 0.252575

Evaluate

m^{2} \times \frac{5988}{1} - 382

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

m^{2} \times \frac{5988}{1} - 382 = 0

Divide the terms

m^{2} \times 5988 - 382 = 0

Use the commutative property to reorder the terms

5988 m^{2} - 382 = 0

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

5988 m^{2} = 0 + 382

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

5988 m^{2} = 382

Divide both sides

\frac{5988 m ^{2}}{5988} = \frac{382}{5988}

Divide the numbers

m^{2} = \frac{382}{5988}

Cancel out the common factor 2

m^{2} = \frac{191}{2994}

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

m = \pm \frac{191}{2994}

Simplify the expression

More Steps

Evaluate

\frac{191}{2994}

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

\frac{191}{2994}

Multiply by the Conjugate

\frac{191 \times 2994}{2994 \times 2994}

Multiply the numbers

More Steps

Evaluate

191 \times 2994

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

191 \times 2994

Calculate the product

571854

\frac{571854}{2994 \times 2994}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{571854}{2994}

m = \pm \frac{571854}{2994}

Separate the equation into 2 possible cases

m = \frac{571854}{2994} m = - \frac{571854}{2994}

Solution

m_{1} = - \frac{571854}{2994}, m_{2} = \frac{571854}{2994}

Alternative Form

m_{1} \approx - 0.252575, m_{2} \approx 0.252575

Show Solution