Solve m^28174-1 - ScanMath

Question

Simplify the expression

8174 m^{2} - 1

Evaluate

m^{2} \times 8174 - 1

Solution

8174 m^{2} - 1

Show Solution

m_{1} = - \frac{8174}{8174}, m_{2} = \frac{8174}{8174}

Alternative Form

m_{1} \approx - 0.011061, m_{2} \approx 0.011061

Evaluate

m^{2} \times 8174 - 1

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

m^{2} \times 8174 - 1 = 0

Use the commutative property to reorder the terms

8174 m^{2} - 1 = 0

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

8174 m^{2} = 0 + 1

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

8174 m^{2} = 1

Divide both sides

\frac{8174 m ^{2}}{8174} = \frac{1}{8174}

Divide the numbers

m^{2} = \frac{1}{8174}

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

m = \pm \frac{1}{8174}

Simplify the expression

More Steps

Evaluate

\frac{1}{8174}

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

\frac{1}{8174}

Simplify the radical expression

\frac{1}{8174}

Multiply by the Conjugate

\frac{8174}{8174 \times 8174}

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

\frac{8174}{8174}

m = \pm \frac{8174}{8174}

Separate the equation into 2 possible cases

m = \frac{8174}{8174} m = - \frac{8174}{8174}

Solution

m_{1} = - \frac{8174}{8174}, m_{2} = \frac{8174}{8174}

Alternative Form

m_{1} \approx - 0.011061, m_{2} \approx 0.011061

Show Solution