Solve m^24308/4-2

Question

Simplify the expression

1077 m^{2} - 2

Evaluate

m^{2} \times \frac{4308}{4} - 2

Divide the terms

More Steps

Evaluate

\frac{4308}{4}

Reduce the numbers

\frac{1077}{1}

Calculate

1077

m^{2} \times 1077 - 2

Solution

1077 m^{2} - 2

Show Solution

m_{1} = - \frac{2154}{1077}, m_{2} = \frac{2154}{1077}

Alternative Form

m_{1} \approx - 0.043093, m_{2} \approx 0.043093

Evaluate

m^{2} \times \frac{4308}{4} - 2

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

m^{2} \times \frac{4308}{4} - 2 = 0

Divide the terms

More Steps

Evaluate

\frac{4308}{4}

Reduce the numbers

\frac{1077}{1}

Calculate

1077

m^{2} \times 1077 - 2 = 0

Use the commutative property to reorder the terms

1077 m^{2} - 2 = 0

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

1077 m^{2} = 0 + 2

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

1077 m^{2} = 2

Divide both sides

\frac{1077 m ^{2}}{1077} = \frac{2}{1077}

Divide the numbers

m^{2} = \frac{2}{1077}

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

m = \pm \frac{2}{1077}

Simplify the expression

More Steps

Evaluate

\frac{2}{1077}

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

\frac{2}{1077}

Multiply by the Conjugate

\frac{2 \times 1077}{1077 \times 1077}

Multiply the numbers

More Steps

Evaluate

2 \times 1077

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

2 \times 1077

Calculate the product

2154

\frac{2154}{1077 \times 1077}

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

\frac{2154}{1077}

m = \pm \frac{2154}{1077}

Separate the equation into 2 possible cases

m = \frac{2154}{1077} m = - \frac{2154}{1077}

Solution

m_{1} = - \frac{2154}{1077}, m_{2} = \frac{2154}{1077}

Alternative Form

m_{1} \approx - 0.043093, m_{2} \approx 0.043093

Show Solution