Solve m^21140-1 - ScanMath

Question

Simplify the expression

1140 m^{2} - 1

Evaluate

m^{2} \times 1140 - 1

Solution

1140 m^{2} - 1

Show Solution

m_{1} = - \frac{285}{570}, m_{2} = \frac{285}{570}

Alternative Form

m_{1} \approx - 0.029617, m_{2} \approx 0.029617

Evaluate

m^{2} \times 1140 - 1

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

m^{2} \times 1140 - 1 = 0

Use the commutative property to reorder the terms

1140 m^{2} - 1 = 0

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

1140 m^{2} = 0 + 1

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

1140 m^{2} = 1

Divide both sides

\frac{1140 m ^{2}}{1140} = \frac{1}{1140}

Divide the numbers

m^{2} = \frac{1}{1140}

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

m = \pm \frac{1}{1140}

Simplify the expression

More Steps

Evaluate

\frac{1}{1140}

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

\frac{1}{1140}

Simplify the radical expression

\frac{1}{1140}

Simplify the radical expression

More Steps

Evaluate

1140

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

4 \times 285

Write the number in exponential form with the base of 2

2^{2} \times 285

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

2^{2} \times 285

Reduce the index of the radical and exponent with 2

2285

\frac{1}{2 285}

Multiply by the Conjugate

\frac{285}{2 285 \times 285}

Multiply the numbers

More Steps

Evaluate

2285 \times 285

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

2 \times 285

Multiply the terms

570

\frac{285}{570}

m = \pm \frac{285}{570}

Separate the equation into 2 possible cases

m = \frac{285}{570} m = - \frac{285}{570}

Solution

m_{1} = - \frac{285}{570}, m_{2} = \frac{285}{570}

Alternative Form

m_{1} \approx - 0.029617, m_{2} \approx 0.029617

Show Solution