Solve m^22-30805 - ScanMath

Question

Simplify the expression

2 m^{2} - 30805

Evaluate

m^{2} \times 2 - 30805

Solution

2 m^{2} - 30805

Show Solution

m_{1} = - \frac{61610}{2}, m_{2} = \frac{61610}{2}

Alternative Form

m_{1} \approx - 124.106809, m_{2} \approx 124.106809

Evaluate

m^{2} \times 2 - 30805

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

m^{2} \times 2 - 30805 = 0

Use the commutative property to reorder the terms

2 m^{2} - 30805 = 0

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

2 m^{2} = 0 + 30805

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

2 m^{2} = 30805

Divide both sides

\frac{2 m ^{2}}{2} = \frac{30805}{2}

Divide the numbers

m^{2} = \frac{30805}{2}

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

m = \pm \frac{30805}{2}

Simplify the expression

More Steps

Evaluate

\frac{30805}{2}

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

\frac{30805}{2}

Multiply by the Conjugate

\frac{30805 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

30805 \times 2

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

30805 \times 2

Calculate the product

61610

\frac{61610}{2 \times 2}

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

\frac{61610}{2}

m = \pm \frac{61610}{2}

Separate the equation into 2 possible cases

m = \frac{61610}{2} m = - \frac{61610}{2}

Solution

m_{1} = - \frac{61610}{2}, m_{2} = \frac{61610}{2}

Alternative Form

m_{1} \approx - 124.106809, m_{2} \approx 124.106809

Show Solution