Solve m^23053/5-107

Question

Simplify the expression

\frac{3053}{5} m^{2} - 107

Evaluate

m^{2} \times \frac{3053}{5} - 107

Solution

\frac{3053}{5} m^{2} - 107

Show Solution

\frac{1}{5} (3053 m^{2} - 535)

Evaluate

m^{2} \times \frac{3053}{5} - 107

Use the commutative property to reorder the terms

\frac{3053}{5} m^{2} - 107

Solution

\frac{1}{5} (3053 m^{2} - 535)

Show Solution

m_{1} = - \frac{1633355}{3053}, m_{2} = \frac{1633355}{3053}

Alternative Form

m_{1} \approx - 0.418614, m_{2} \approx 0.418614

Evaluate

m^{2} \times \frac{3053}{5} - 107

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

m^{2} \times \frac{3053}{5} - 107 = 0

Use the commutative property to reorder the terms

\frac{3053}{5} m^{2} - 107 = 0

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

\frac{3053}{5} m^{2} = 0 + 107

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

\frac{3053}{5} m^{2} = 107

Multiply by the reciprocal

\frac{3053}{5} m^{2} \times \frac{5}{3053} = 107 \times \frac{5}{3053}

Multiply

m^{2} = 107 \times \frac{5}{3053}

Multiply

More Steps

Evaluate

107 \times \frac{5}{3053}

Multiply the numbers

\frac{107 \times 5}{3053}

Multiply the numbers

\frac{535}{3053}

m^{2} = \frac{535}{3053}

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

m = \pm \frac{535}{3053}

Simplify the expression

More Steps

Evaluate

\frac{535}{3053}

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

\frac{535}{3053}

Multiply by the Conjugate

\frac{535 \times 3053}{3053 \times 3053}

Multiply the numbers

More Steps

Evaluate

535 \times 3053

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

535 \times 3053

Calculate the product

1633355

\frac{1633355}{3053 \times 3053}

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

\frac{1633355}{3053}

m = \pm \frac{1633355}{3053}

Separate the equation into 2 possible cases

m = \frac{1633355}{3053} m = - \frac{1633355}{3053}

Solution

m_{1} = - \frac{1633355}{3053}, m_{2} = \frac{1633355}{3053}

Alternative Form

m_{1} \approx - 0.418614, m_{2} \approx 0.418614

Show Solution