Solve m^25988/1-912

Question

Simplify the expression

5988 m^{2} - 912

Evaluate

m^{2} \times \frac{5988}{1} - 912

Divide the terms

m^{2} \times 5988 - 912

Solution

5988 m^{2} - 912

Show Solution

12 (499 m^{2} - 76)

Evaluate

m^{2} \times \frac{5988}{1} - 912

Divide the terms

m^{2} \times 5988 - 912

Use the commutative property to reorder the terms

5988 m^{2} - 912

Solution

12 (499 m^{2} - 76)

Show Solution

m_{1} = - \frac{2 9481}{499}, m_{2} = \frac{2 9481}{499}

Alternative Form

m_{1} \approx - 0.390262, m_{2} \approx 0.390262

Evaluate

m^{2} \times \frac{5988}{1} - 912

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

m^{2} \times \frac{5988}{1} - 912 = 0

Divide the terms

m^{2} \times 5988 - 912 = 0

Use the commutative property to reorder the terms

5988 m^{2} - 912 = 0

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

5988 m^{2} = 0 + 912

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

5988 m^{2} = 912

Divide both sides

\frac{5988 m ^{2}}{5988} = \frac{912}{5988}

Divide the numbers

m^{2} = \frac{912}{5988}

Cancel out the common factor 12

m^{2} = \frac{76}{499}

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

m = \pm \frac{76}{499}

Simplify the expression

More Steps

Evaluate

\frac{76}{499}

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

\frac{76}{499}

Simplify the radical expression

More Steps

Evaluate

76

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

4 \times 19

Write the number in exponential form with the base of 2

2^{2} \times 19

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

2^{2} \times 19

Reduce the index of the radical and exponent with 2

219

\frac{2 19}{499}

Multiply by the Conjugate

\frac{2 19 \times 499}{499 \times 499}

Multiply the numbers

More Steps

Evaluate

19 \times 499

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

19 \times 499

Calculate the product

9481

\frac{2 9481}{499 \times 499}

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

\frac{2 9481}{499}

m = \pm \frac{2 9481}{499}

Separate the equation into 2 possible cases

m = \frac{2 9481}{499} m = - \frac{2 9481}{499}

Solution

m_{1} = - \frac{2 9481}{499}, m_{2} = \frac{2 9481}{499}

Alternative Form

m_{1} \approx - 0.390262, m_{2} \approx 0.390262

Show Solution