Solve m^28600-1 - ScanMath

Question

Simplify the expression

8600 m^{2} - 1

Evaluate

m^{2} \times 8600 - 1

Solution

8600 m^{2} - 1

Show Solution

m_{1} = - \frac{86}{860}, m_{2} = \frac{86}{860}

Alternative Form

m_{1} \approx - 0.010783, m_{2} \approx 0.010783

Evaluate

m^{2} \times 8600 - 1

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

m^{2} \times 8600 - 1 = 0

Use the commutative property to reorder the terms

8600 m^{2} - 1 = 0

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

8600 m^{2} = 0 + 1

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

8600 m^{2} = 1

Divide both sides

\frac{8600 m ^{2}}{8600} = \frac{1}{8600}

Divide the numbers

m^{2} = \frac{1}{8600}

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

m = \pm \frac{1}{8600}

Simplify the expression

More Steps

Evaluate

\frac{1}{8600}

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

\frac{1}{8600}

Simplify the radical expression

\frac{1}{8600}

Simplify the radical expression

More Steps

Evaluate

8600

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

100 \times 86

Write the number in exponential form with the base of 10

1 0^{2} \times 86

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

1 0^{2} \times 86

Reduce the index of the radical and exponent with 2

1086

\frac{1}{10 86}

Multiply by the Conjugate

\frac{86}{10 86 \times 86}

Multiply the numbers

More Steps

Evaluate

1086 \times 86

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

10 \times 86

Multiply the terms

860

\frac{86}{860}

m = \pm \frac{86}{860}

Separate the equation into 2 possible cases

m = \frac{86}{860} m = - \frac{86}{860}

Solution

m_{1} = - \frac{86}{860}, m_{2} = \frac{86}{860}

Alternative Form

m_{1} \approx - 0.010783, m_{2} \approx 0.010783

Show Solution