Solve m^25988/1-139

Question

Simplify the expression

5988 m^{2} - 139

Evaluate

m^{2} \times \frac{5988}{1} - 139

Divide the terms

m^{2} \times 5988 - 139

Solution

5988 m^{2} - 139

Show Solution

m_{1} = - \frac{208083}{2994}, m_{2} = \frac{208083}{2994}

Alternative Form

m_{1} \approx - 0.152358, m_{2} \approx 0.152358

Evaluate

m^{2} \times \frac{5988}{1} - 139

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

m^{2} \times \frac{5988}{1} - 139 = 0

Divide the terms

m^{2} \times 5988 - 139 = 0

Use the commutative property to reorder the terms

5988 m^{2} - 139 = 0

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

5988 m^{2} = 0 + 139

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

5988 m^{2} = 139

Divide both sides

\frac{5988 m ^{2}}{5988} = \frac{139}{5988}

Divide the numbers

m^{2} = \frac{139}{5988}

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

m = \pm \frac{139}{5988}

Simplify the expression

More Steps

Evaluate

\frac{139}{5988}

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

\frac{139}{5988}

Simplify the radical expression

More Steps

Evaluate

5988

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 1497

Write the number in exponential form with the base of 2

2^{2} \times 1497

The root of a product is equal to the product of the roots of each factor

2^{2} \times 1497

Reduce the index of the radical and exponent with 2

21497

\frac{139}{2 1497}

Multiply by the Conjugate

\frac{139 \times 1497}{2 1497 \times 1497}

Multiply the numbers

More Steps

Evaluate

139 \times 1497

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

139 \times 1497

Calculate the product

208083

\frac{208083}{2 1497 \times 1497}

Multiply the numbers

More Steps

Evaluate

21497 \times 1497

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

2 \times 1497

Multiply the terms

2994

\frac{208083}{2994}

m = \pm \frac{208083}{2994}

Separate the equation into 2 possible cases

m = \frac{208083}{2994} m = - \frac{208083}{2994}

Solution

m_{1} = - \frac{208083}{2994}, m_{2} = \frac{208083}{2994}

Alternative Form

m_{1} \approx - 0.152358, m_{2} \approx 0.152358

Show Solution