Solve m^24309/2-3

Question

Simplify the expression

\frac{4309}{2} m^{2} - 3

Evaluate

m^{2} \times \frac{4309}{2} - 3

Solution

\frac{4309}{2} m^{2} - 3

Show Solution

\frac{1}{2} (4309 m^{2} - 6)

Evaluate

m^{2} \times \frac{4309}{2} - 3

Use the commutative property to reorder the terms

\frac{4309}{2} m^{2} - 3

Solution

\frac{1}{2} (4309 m^{2} - 6)

Show Solution

m_{1} = - \frac{25854}{4309}, m_{2} = \frac{25854}{4309}

Alternative Form

m_{1} \approx - 0.037315, m_{2} \approx 0.037315

Evaluate

m^{2} \times \frac{4309}{2} - 3

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

m^{2} \times \frac{4309}{2} - 3 = 0

Use the commutative property to reorder the terms

\frac{4309}{2} m^{2} - 3 = 0

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

\frac{4309}{2} m^{2} = 0 + 3

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

\frac{4309}{2} m^{2} = 3

Multiply by the reciprocal

\frac{4309}{2} m^{2} \times \frac{2}{4309} = 3 \times \frac{2}{4309}

Multiply

m^{2} = 3 \times \frac{2}{4309}

Multiply

More Steps

Evaluate

3 \times \frac{2}{4309}

Multiply the numbers

\frac{3 \times 2}{4309}

Multiply the numbers

\frac{6}{4309}

m^{2} = \frac{6}{4309}

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

m = \pm \frac{6}{4309}

Simplify the expression

More Steps

Evaluate

\frac{6}{4309}

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

\frac{6}{4309}

Multiply by the Conjugate

\frac{6 \times 4309}{4309 \times 4309}

Multiply the numbers

More Steps

Evaluate

6 \times 4309

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

6 \times 4309

Calculate the product

25854

\frac{25854}{4309 \times 4309}

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

\frac{25854}{4309}

m = \pm \frac{25854}{4309}

Separate the equation into 2 possible cases

m = \frac{25854}{4309} m = - \frac{25854}{4309}

Solution

m_{1} = - \frac{25854}{4309}, m_{2} = \frac{25854}{4309}

Alternative Form

m_{1} \approx - 0.037315, m_{2} \approx 0.037315

Show Solution