Solve m^28872-1 - ScanMath

Question

Simplify the expression

8872 m^{2} - 1

Evaluate

m^{2} \times 8872 - 1

Solution

8872 m^{2} - 1

Show Solution

m_{1} = - \frac{2218}{4436}, m_{2} = \frac{2218}{4436}

Alternative Form

m_{1} \approx - 0.010617, m_{2} \approx 0.010617

Evaluate

m^{2} \times 8872 - 1

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

m^{2} \times 8872 - 1 = 0

Use the commutative property to reorder the terms

8872 m^{2} - 1 = 0

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

8872 m^{2} = 0 + 1

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

8872 m^{2} = 1

Divide both sides

\frac{8872 m ^{2}}{8872} = \frac{1}{8872}

Divide the numbers

m^{2} = \frac{1}{8872}

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

m = \pm \frac{1}{8872}

Simplify the expression

More Steps

Evaluate

\frac{1}{8872}

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

\frac{1}{8872}

Simplify the radical expression

\frac{1}{8872}

Simplify the radical expression

More Steps

Evaluate

8872

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

4 \times 2218

Write the number in exponential form with the base of 2

2^{2} \times 2218

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

2^{2} \times 2218

Reduce the index of the radical and exponent with 2

22218

\frac{1}{2 2218}

Multiply by the Conjugate

\frac{2218}{2 2218 \times 2218}

Multiply the numbers

More Steps

Evaluate

22218 \times 2218

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

2 \times 2218

Multiply the terms

4436

\frac{2218}{4436}

m = \pm \frac{2218}{4436}

Separate the equation into 2 possible cases

m = \frac{2218}{4436} m = - \frac{2218}{4436}

Solution

m_{1} = - \frac{2218}{4436}, m_{2} = \frac{2218}{4436}

Alternative Form

m_{1} \approx - 0.010617, m_{2} \approx 0.010617

Show Solution