Solve 24-m^22*110

Question

Simplify the expression

24 - 220 m^{2}

Evaluate

24 - m^{2} \times 2 \times 110

Solution

More Steps

Evaluate

m^{2} \times 2 \times 110

Multiply the terms

m^{2} \times 220

Use the commutative property to reorder the terms

220 m^{2}

24 - 220 m^{2}

Show Solution

4 (6 - 55 m^{2})

Evaluate

24 - m^{2} \times 2 \times 110

Multiply

More Steps

Evaluate

m^{2} \times 2 \times 110

Multiply the terms

m^{2} \times 220

Use the commutative property to reorder the terms

220 m^{2}

24 - 220 m^{2}

Solution

4 (6 - 55 m^{2})

Show Solution

m_{1} = - \frac{330}{55}, m_{2} = \frac{330}{55}

Alternative Form

m_{1} \approx - 0.330289, m_{2} \approx 0.330289

Evaluate

24 - m^{2} \times 2 \times 110

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

24 - m^{2} \times 2 \times 110 = 0

Multiply

More Steps

Multiply the terms

m^{2} \times 2 \times 110

Multiply the terms

m^{2} \times 220

Use the commutative property to reorder the terms

220 m^{2}

24 - 220 m^{2} = 0

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

- 220 m^{2} = 0 - 24

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

- 220 m^{2} = - 24

Change the signs on both sides of the equation

220 m^{2} = 24

Divide both sides

\frac{220 m ^{2}}{220} = \frac{24}{220}

Divide the numbers

m^{2} = \frac{24}{220}

Cancel out the common factor 4

m^{2} = \frac{6}{55}

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

m = \pm \frac{6}{55}

Simplify the expression

More Steps

Evaluate

\frac{6}{55}

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

\frac{6}{55}

Multiply by the Conjugate

\frac{6 \times 55}{55 \times 55}

Multiply the numbers

More Steps

Evaluate

6 \times 55

The product of roots with the same index is equal to the root of the product

6 \times 55

Calculate the product

330

\frac{330}{55 \times 55}

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

\frac{330}{55}

m = \pm \frac{330}{55}

Separate the equation into 2 possible cases

m = \frac{330}{55} m = - \frac{330}{55}

Solution

m_{1} = - \frac{330}{55}, m_{2} = \frac{330}{55}

Alternative Form

m_{1} \approx - 0.330289, m_{2} \approx 0.330289

Show Solution