Solve m71750m-1 - ScanMath

Question

Simplify the expression

71750 m^{2} - 1

Evaluate

m \times 71750 m - 1

Solution

More Steps

Evaluate

m \times 71750 m

Multiply the terms

m^{2} \times 71750

Use the commutative property to reorder the terms

71750 m^{2}

71750 m^{2} - 1

Show Solution

m_{1} = - \frac{2870}{14350}, m_{2} = \frac{2870}{14350}

Alternative Form

m_{1} \approx - 0.003733, m_{2} \approx 0.003733

Evaluate

m \times 71750 m - 1

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

m \times 71750 m - 1 = 0

Multiply

More Steps

Multiply the terms

m \times 71750 m

Multiply the terms

m^{2} \times 71750

Use the commutative property to reorder the terms

71750 m^{2}

71750 m^{2} - 1 = 0

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

71750 m^{2} = 0 + 1

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

71750 m^{2} = 1

Divide both sides

\frac{71750 m ^{2}}{71750} = \frac{1}{71750}

Divide the numbers

m^{2} = \frac{1}{71750}

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

m = \pm \frac{1}{71750}

Simplify the expression

More Steps

Evaluate

\frac{1}{71750}

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

\frac{1}{71750}

Simplify the radical expression

\frac{1}{71750}

Simplify the radical expression

More Steps

Evaluate

71750

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

25 \times 2870

Write the number in exponential form with the base of 5

5^{2} \times 2870

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

5^{2} \times 2870

Reduce the index of the radical and exponent with 2

52870

\frac{1}{5 2870}

Multiply by the Conjugate

\frac{2870}{5 2870 \times 2870}

Multiply the numbers

More Steps

Evaluate

52870 \times 2870

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

5 \times 2870

Multiply the terms

14350

\frac{2870}{14350}

m = \pm \frac{2870}{14350}

Separate the equation into 2 possible cases

m = \frac{2870}{14350} m = - \frac{2870}{14350}

Solution

m_{1} = - \frac{2870}{14350}, m_{2} = \frac{2870}{14350}

Alternative Form

m_{1} \approx - 0.003733, m_{2} \approx 0.003733

Show Solution