Solve m^22520/2-1

Question

Simplify the expression

1260 m^{2} - 1

Evaluate

m^{2} \times \frac{2520}{2} - 1

Divide the terms

More Steps

Evaluate

\frac{2520}{2}

Reduce the numbers

\frac{1260}{1}

Calculate

1260

m^{2} \times 1260 - 1

Solution

1260 m^{2} - 1

Show Solution

m_{1} = - \frac{35}{210}, m_{2} = \frac{35}{210}

Alternative Form

m_{1} \approx - 0.028172, m_{2} \approx 0.028172

Evaluate

m^{2} \times \frac{2520}{2} - 1

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

m^{2} \times \frac{2520}{2} - 1 = 0

Divide the terms

More Steps

Evaluate

\frac{2520}{2}

Reduce the numbers

\frac{1260}{1}

Calculate

1260

m^{2} \times 1260 - 1 = 0

Use the commutative property to reorder the terms

1260 m^{2} - 1 = 0

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

1260 m^{2} = 0 + 1

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

1260 m^{2} = 1

Divide both sides

\frac{1260 m ^{2}}{1260} = \frac{1}{1260}

Divide the numbers

m^{2} = \frac{1}{1260}

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

m = \pm \frac{1}{1260}

Simplify the expression

More Steps

Evaluate

\frac{1}{1260}

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

\frac{1}{1260}

Simplify the radical expression

\frac{1}{1260}

Simplify the radical expression

More Steps

Evaluate

1260

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

36 \times 35

Write the number in exponential form with the base of 6

6^{2} \times 35

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

6^{2} \times 35

Reduce the index of the radical and exponent with 2

635

\frac{1}{6 35}

Multiply by the Conjugate

\frac{35}{6 35 \times 35}

Multiply the numbers

More Steps

Evaluate

635 \times 35

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

6 \times 35

Multiply the terms

210

\frac{35}{210}

m = \pm \frac{35}{210}

Separate the equation into 2 possible cases

m = \frac{35}{210} m = - \frac{35}{210}

Solution

m_{1} = - \frac{35}{210}, m_{2} = \frac{35}{210}

Alternative Form

m_{1} \approx - 0.028172, m_{2} \approx 0.028172

Show Solution