Solve m^23053/5-104

Question

Simplify the expression

\frac{3053}{5} m^{2} - 104

Evaluate

m^{2} \times \frac{3053}{5} - 104

Solution

\frac{3053}{5} m^{2} - 104

Show Solution

\frac{1}{5} (3053 m^{2} - 520)

Evaluate

m^{2} \times \frac{3053}{5} - 104

Use the commutative property to reorder the terms

\frac{3053}{5} m^{2} - 104

Solution

\frac{1}{5} (3053 m^{2} - 520)

Show Solution

m_{1} = - \frac{2 396890}{3053}, m_{2} = \frac{2 396890}{3053}

Alternative Form

m_{1} \approx - 0.412704, m_{2} \approx 0.412704

Evaluate

m^{2} \times \frac{3053}{5} - 104

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

m^{2} \times \frac{3053}{5} - 104 = 0

Use the commutative property to reorder the terms

\frac{3053}{5} m^{2} - 104 = 0

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

\frac{3053}{5} m^{2} = 0 + 104

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

\frac{3053}{5} m^{2} = 104

Multiply by the reciprocal

\frac{3053}{5} m^{2} \times \frac{5}{3053} = 104 \times \frac{5}{3053}

Multiply

m^{2} = 104 \times \frac{5}{3053}

Multiply

More Steps

Evaluate

104 \times \frac{5}{3053}

Multiply the numbers

\frac{104 \times 5}{3053}

Multiply the numbers

\frac{520}{3053}

m^{2} = \frac{520}{3053}

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

m = \pm \frac{520}{3053}

Simplify the expression

More Steps

Evaluate

\frac{520}{3053}

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

\frac{520}{3053}

Simplify the radical expression

More Steps

Evaluate

520

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 130

Write the number in exponential form with the base of 2

2^{2} \times 130

The root of a product is equal to the product of the roots of each factor

2^{2} \times 130

Reduce the index of the radical and exponent with 2

2130

\frac{2 130}{3053}

Multiply by the Conjugate

\frac{2 130 \times 3053}{3053 \times 3053}

Multiply the numbers

More Steps

Evaluate

130 \times 3053

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

130 \times 3053

Calculate the product

396890

\frac{2 396890}{3053 \times 3053}

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

\frac{2 396890}{3053}

m = \pm \frac{2 396890}{3053}

Separate the equation into 2 possible cases

m = \frac{2 396890}{3053} m = - \frac{2 396890}{3053}

Solution

m_{1} = - \frac{2 396890}{3053}, m_{2} = \frac{2 396890}{3053}

Alternative Form

m_{1} \approx - 0.412704, m_{2} \approx 0.412704

Show Solution