Solve m^25988/1-122

Question

Simplify the expression

5988 m^{2} - 122

Evaluate

m^{2} \times \frac{5988}{1} - 122

Divide the terms

m^{2} \times 5988 - 122

Solution

5988 m^{2} - 122

Show Solution

2 (2994 m^{2} - 61)

Evaluate

m^{2} \times \frac{5988}{1} - 122

Divide the terms

m^{2} \times 5988 - 122

Use the commutative property to reorder the terms

5988 m^{2} - 122

Solution

2 (2994 m^{2} - 61)

Show Solution

m_{1} = - \frac{182634}{2994}, m_{2} = \frac{182634}{2994}

Alternative Form

m_{1} \approx - 0.142738, m_{2} \approx 0.142738

Evaluate

m^{2} \times \frac{5988}{1} - 122

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

m^{2} \times \frac{5988}{1} - 122 = 0

Divide the terms

m^{2} \times 5988 - 122 = 0

Use the commutative property to reorder the terms

5988 m^{2} - 122 = 0

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

5988 m^{2} = 0 + 122

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

5988 m^{2} = 122

Divide both sides

\frac{5988 m ^{2}}{5988} = \frac{122}{5988}

Divide the numbers

m^{2} = \frac{122}{5988}

Cancel out the common factor 2

m^{2} = \frac{61}{2994}

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

m = \pm \frac{61}{2994}

Simplify the expression

More Steps

Evaluate

\frac{61}{2994}

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

\frac{61}{2994}

Multiply by the Conjugate

\frac{61 \times 2994}{2994 \times 2994}

Multiply the numbers

More Steps

Evaluate

61 \times 2994

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

61 \times 2994

Calculate the product

182634

\frac{182634}{2994 \times 2994}

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

\frac{182634}{2994}

m = \pm \frac{182634}{2994}

Separate the equation into 2 possible cases

m = \frac{182634}{2994} m = - \frac{182634}{2994}

Solution

m_{1} = - \frac{182634}{2994}, m_{2} = \frac{182634}{2994}

Alternative Form

m_{1} \approx - 0.142738, m_{2} \approx 0.142738

Show Solution