Solve m^24395/1-2

Question

Simplify the expression

4395 m^{2} - 2

Evaluate

m^{2} \times \frac{4395}{1} - 2

Divide the terms

m^{2} \times 4395 - 2

Solution

4395 m^{2} - 2

Show Solution

m_{1} = - \frac{8790}{4395}, m_{2} = \frac{8790}{4395}

Alternative Form

m_{1} \approx - 0.021332, m_{2} \approx 0.021332

Evaluate

m^{2} \times \frac{4395}{1} - 2

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

m^{2} \times \frac{4395}{1} - 2 = 0

Divide the terms

m^{2} \times 4395 - 2 = 0

Use the commutative property to reorder the terms

4395 m^{2} - 2 = 0

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

4395 m^{2} = 0 + 2

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

4395 m^{2} = 2

Divide both sides

\frac{4395 m ^{2}}{4395} = \frac{2}{4395}

Divide the numbers

m^{2} = \frac{2}{4395}

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

m = \pm \frac{2}{4395}

Simplify the expression

More Steps

Evaluate

\frac{2}{4395}

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

\frac{2}{4395}

Multiply by the Conjugate

\frac{2 \times 4395}{4395 \times 4395}

Multiply the numbers

More Steps

Evaluate

2 \times 4395

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

2 \times 4395

Calculate the product

8790

\frac{8790}{4395 \times 4395}

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

\frac{8790}{4395}

m = \pm \frac{8790}{4395}

Separate the equation into 2 possible cases

m = \frac{8790}{4395} m = - \frac{8790}{4395}

Solution

m_{1} = - \frac{8790}{4395}, m_{2} = \frac{8790}{4395}

Alternative Form

m_{1} \approx - 0.021332, m_{2} \approx 0.021332

Show Solution