Solve 48520-1a^2500

Question

Simplify the expression

48520 - 500 a^{2}

Evaluate

48520 - 1 \times a^{2} \times 500

Solution

More Steps

Evaluate

1 \times a^{2} \times 500

Rewrite the expression

a^{2} \times 500

Use the commutative property to reorder the terms

500 a^{2}

48520 - 500 a^{2}

Show Solution

20 (2426 - 25 a^{2})

Evaluate

48520 - 1 \times a^{2} \times 500

Multiply the terms

More Steps

Evaluate

1 \times a^{2} \times 500

Rewrite the expression

a^{2} \times 500

Use the commutative property to reorder the terms

500 a^{2}

48520 - 500 a^{2}

Solution

20 (2426 - 25 a^{2})

Show Solution

a_{1} = - \frac{2426}{5}, a_{2} = \frac{2426}{5}

Alternative Form

a_{1} \approx - 9.850888, a_{2} \approx 9.850888

Evaluate

48520 - 1 \times a^{2} \times 500

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

48520 - 1 \times a^{2} \times 500 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times a^{2} \times 500

Rewrite the expression

a^{2} \times 500

Use the commutative property to reorder the terms

500 a^{2}

48520 - 500 a^{2} = 0

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

- 500 a^{2} = 0 - 48520

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

- 500 a^{2} = - 48520

Change the signs on both sides of the equation

500 a^{2} = 48520

Divide both sides

\frac{500 a ^{2}}{500} = \frac{48520}{500}

Divide the numbers

a^{2} = \frac{48520}{500}

Cancel out the common factor 20

a^{2} = \frac{2426}{25}

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

a = \pm \frac{2426}{25}

Simplify the expression

More Steps

Evaluate

\frac{2426}{25}

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

\frac{2426}{25}

Simplify the radical expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{2426}{5}

a = \pm \frac{2426}{5}

Separate the equation into 2 possible cases

a = \frac{2426}{5} a = - \frac{2426}{5}

Solution

a_{1} = - \frac{2426}{5}, a_{2} = \frac{2426}{5}

Alternative Form

a_{1} \approx - 9.850888, a_{2} \approx 9.850888

Show Solution