Solve m^24308/3-2

Question

Simplify the expression

1436 m^{2} - 2

Evaluate

m^{2} \times \frac{4308}{3} - 2

Divide the terms

More Steps

Evaluate

\frac{4308}{3}

Reduce the numbers

\frac{1436}{1}

Calculate

1436

m^{2} \times 1436 - 2

Solution

1436 m^{2} - 2

Show Solution

2 (718 m^{2} - 1)

Evaluate

m^{2} \times \frac{4308}{3} - 2

Divide the terms

More Steps

Evaluate

\frac{4308}{3}

Reduce the numbers

\frac{1436}{1}

Calculate

1436

m^{2} \times 1436 - 2

Use the commutative property to reorder the terms

1436 m^{2} - 2

Solution

2 (718 m^{2} - 1)

Show Solution

m_{1} = - \frac{718}{718}, m_{2} = \frac{718}{718}

Alternative Form

m_{1} \approx - 0.03732, m_{2} \approx 0.03732

Evaluate

m^{2} \times \frac{4308}{3} - 2

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

m^{2} \times \frac{4308}{3} - 2 = 0

Divide the terms

More Steps

Evaluate

\frac{4308}{3}

Reduce the numbers

\frac{1436}{1}

Calculate

1436

m^{2} \times 1436 - 2 = 0

Use the commutative property to reorder the terms

1436 m^{2} - 2 = 0

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

1436 m^{2} = 0 + 2

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

1436 m^{2} = 2

Divide both sides

\frac{1436 m ^{2}}{1436} = \frac{2}{1436}

Divide the numbers

m^{2} = \frac{2}{1436}

Cancel out the common factor 2

m^{2} = \frac{1}{718}

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

m = \pm \frac{1}{718}

Simplify the expression

More Steps

Evaluate

\frac{1}{718}

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

\frac{1}{718}

Simplify the radical expression

\frac{1}{718}

Multiply by the Conjugate

\frac{718}{718 \times 718}

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

\frac{718}{718}

m = \pm \frac{718}{718}

Separate the equation into 2 possible cases

m = \frac{718}{718} m = - \frac{718}{718}

Solution

m_{1} = - \frac{718}{718}, m_{2} = \frac{718}{718}

Alternative Form

m_{1} \approx - 0.03732, m_{2} \approx 0.03732

Show Solution