Solve m^24308/2-1

Question

Simplify the expression

2154 m^{2} - 1

Evaluate

m^{2} \times \frac{4308}{2} - 1

Divide the terms

More Steps

Evaluate

\frac{4308}{2}

Reduce the numbers

\frac{2154}{1}

Calculate

2154

m^{2} \times 2154 - 1

Solution

2154 m^{2} - 1

Show Solution

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

Alternative Form

m_{1} \approx - 0.021547, m_{2} \approx 0.021547

Evaluate

m^{2} \times \frac{4308}{2} - 1

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

m^{2} \times \frac{4308}{2} - 1 = 0

Divide the terms

More Steps

Evaluate

\frac{4308}{2}

Reduce the numbers

\frac{2154}{1}

Calculate

2154

m^{2} \times 2154 - 1 = 0

Use the commutative property to reorder the terms

2154 m^{2} - 1 = 0

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

2154 m^{2} = 0 + 1

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

2154 m^{2} = 1

Divide both sides

\frac{2154 m ^{2}}{2154} = \frac{1}{2154}

Divide the numbers

m^{2} = \frac{1}{2154}

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

m = \pm \frac{1}{2154}

Simplify the expression

More Steps

Evaluate

\frac{1}{2154}

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

\frac{1}{2154}

Simplify the radical expression

\frac{1}{2154}

Multiply by the Conjugate

\frac{2154}{2154 \times 2154}

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

\frac{2154}{2154}

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

Separate the equation into 2 possible cases

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

Solution

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

Alternative Form

m_{1} \approx - 0.021547, m_{2} \approx 0.021547

Show Solution