Solve m^28400-4 - ScanMath

Question

Simplify the expression

8400 m^{2} - 4

Evaluate

m^{2} \times 8400 - 4

Solution

8400 m^{2} - 4

Show Solution

4 (2100 m^{2} - 1)

Evaluate

m^{2} \times 8400 - 4

Use the commutative property to reorder the terms

8400 m^{2} - 4

Solution

4 (2100 m^{2} - 1)

Show Solution

m_{1} = - \frac{21}{210}, m_{2} = \frac{21}{210}

Alternative Form

m_{1} \approx - 0.021822, m_{2} \approx 0.021822

Evaluate

m^{2} \times 8400 - 4

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

m^{2} \times 8400 - 4 = 0

Use the commutative property to reorder the terms

8400 m^{2} - 4 = 0

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

8400 m^{2} = 0 + 4

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

8400 m^{2} = 4

Divide both sides

\frac{8400 m ^{2}}{8400} = \frac{4}{8400}

Divide the numbers

m^{2} = \frac{4}{8400}

Cancel out the common factor 4

m^{2} = \frac{1}{2100}

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

m = \pm \frac{1}{2100}

Simplify the expression

More Steps

Evaluate

\frac{1}{2100}

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

\frac{1}{2100}

Simplify the radical expression

\frac{1}{2100}

Simplify the radical expression

More Steps

Evaluate

2100

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

100 \times 21

Write the number in exponential form with the base of 10

1 0^{2} \times 21

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

1 0^{2} \times 21

Reduce the index of the radical and exponent with 2

1021

\frac{1}{10 21}

Multiply by the Conjugate

\frac{21}{10 21 \times 21}

Multiply the numbers

More Steps

Evaluate

1021 \times 21

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

10 \times 21

Multiply the terms

210

\frac{21}{210}

m = \pm \frac{21}{210}

Separate the equation into 2 possible cases

m = \frac{21}{210} m = - \frac{21}{210}

Solution

m_{1} = - \frac{21}{210}, m_{2} = \frac{21}{210}

Alternative Form

m_{1} \approx - 0.021822, m_{2} \approx 0.021822

Show Solution