Solve m^2624-1 - ScanMath

Question

Simplify the expression

624 m^{2} - 1

Evaluate

m^{2} \times 624 - 1

Solution

624 m^{2} - 1

Show Solution

m_{1} = - \frac{39}{156}, m_{2} = \frac{39}{156}

Alternative Form

m_{1} \approx - 0.040032, m_{2} \approx 0.040032

Evaluate

m^{2} \times 624 - 1

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

m^{2} \times 624 - 1 = 0

Use the commutative property to reorder the terms

624 m^{2} - 1 = 0

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

624 m^{2} = 0 + 1

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

624 m^{2} = 1

Divide both sides

\frac{624 m ^{2}}{624} = \frac{1}{624}

Divide the numbers

m^{2} = \frac{1}{624}

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

m = \pm \frac{1}{624}

Simplify the expression

More Steps

Evaluate

\frac{1}{624}

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

\frac{1}{624}

Simplify the radical expression

\frac{1}{624}

Simplify the radical expression

More Steps

Evaluate

624

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

16 \times 39

Write the number in exponential form with the base of 4

4^{2} \times 39

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

4^{2} \times 39

Reduce the index of the radical and exponent with 2

439

\frac{1}{4 39}

Multiply by the Conjugate

\frac{39}{4 39 \times 39}

Multiply the numbers

More Steps

Evaluate

439 \times 39

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

4 \times 39

Multiply the terms

156

\frac{39}{156}

m = \pm \frac{39}{156}

Separate the equation into 2 possible cases

m = \frac{39}{156} m = - \frac{39}{156}

Solution

m_{1} = - \frac{39}{156}, m_{2} = \frac{39}{156}

Alternative Form

m_{1} \approx - 0.040032, m_{2} \approx 0.040032

Show Solution