Solve m^22499/1-47

Question

Simplify the expression

2499 m^{2} - 47

Evaluate

m^{2} \times \frac{2499}{1} - 47

Divide the terms

m^{2} \times 2499 - 47

Solution

2499 m^{2} - 47

Show Solution

m_{1} = - \frac{2397}{357}, m_{2} = \frac{2397}{357}

Alternative Form

m_{1} \approx - 0.137141, m_{2} \approx 0.137141

Evaluate

m^{2} \times \frac{2499}{1} - 47

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

m^{2} \times \frac{2499}{1} - 47 = 0

Divide the terms

m^{2} \times 2499 - 47 = 0

Use the commutative property to reorder the terms

2499 m^{2} - 47 = 0

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

2499 m^{2} = 0 + 47

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

2499 m^{2} = 47

Divide both sides

\frac{2499 m ^{2}}{2499} = \frac{47}{2499}

Divide the numbers

m^{2} = \frac{47}{2499}

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

m = \pm \frac{47}{2499}

Simplify the expression

More Steps

Evaluate

\frac{47}{2499}

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

\frac{47}{2499}

Simplify the radical expression

More Steps

Evaluate

2499

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

49 \times 51

Write the number in exponential form with the base of 7

7^{2} \times 51

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

7^{2} \times 51

Reduce the index of the radical and exponent with 2

751

\frac{47}{7 51}

Multiply by the Conjugate

\frac{47 \times 51}{7 51 \times 51}

Multiply the numbers

More Steps

Evaluate

47 \times 51

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

47 \times 51

Calculate the product

2397

\frac{2397}{7 51 \times 51}

Multiply the numbers

More Steps

Evaluate

751 \times 51

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

7 \times 51

Multiply the terms

357

\frac{2397}{357}

m = \pm \frac{2397}{357}

Separate the equation into 2 possible cases

m = \frac{2397}{357} m = - \frac{2397}{357}

Solution

m_{1} = - \frac{2397}{357}, m_{2} = \frac{2397}{357}

Alternative Form

m_{1} \approx - 0.137141, m_{2} \approx 0.137141

Show Solution