Solve 147604510-K^2025

Question

Simplify the expression

147604510 - 25 K^{2}

Evaluate

147604510 - K^{2} \times 25

Solution

147604510 - 25 K^{2}

Show Solution

5 (29520902 - 5 K^{2})

Evaluate

147604510 - K^{2} \times 25

Use the commutative property to reorder the terms

147604510 - 25 K^{2}

Solution

5 (29520902 - 5 K^{2})

Show Solution

K_{1} = - \frac{147604510}{5}, K_{2} = \frac{147604510}{5}

Alternative Form

K_{1} \approx - 2429.85193, K_{2} \approx 2429.85193

Evaluate

147604510 - K^{2} \times 25

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

147604510 - K^{2} \times 25 = 0

Use the commutative property to reorder the terms

147604510 - 25 K^{2} = 0

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

- 25 K^{2} = 0 - 147604510

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

- 25 K^{2} = - 147604510

Change the signs on both sides of the equation

25 K^{2} = 147604510

Divide both sides

\frac{25 K ^{2}}{25} = \frac{147604510}{25}

Divide the numbers

K^{2} = \frac{147604510}{25}

Cancel out the common factor 5

K^{2} = \frac{29520902}{5}

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

K = \pm \frac{29520902}{5}

Simplify the expression

More Steps

Evaluate

\frac{29520902}{5}

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

\frac{29520902}{5}

Multiply by the Conjugate

\frac{29520902 \times 5}{5 \times 5}

Multiply the numbers

More Steps

Evaluate

29520902 \times 5

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

29520902 \times 5

Calculate the product

147604510

\frac{147604510}{5 \times 5}

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

\frac{147604510}{5}

K = \pm \frac{147604510}{5}

Separate the equation into 2 possible cases

K = \frac{147604510}{5} K = - \frac{147604510}{5}

Solution

K_{1} = - \frac{147604510}{5}, K_{2} = \frac{147604510}{5}

Alternative Form

K_{1} \approx - 2429.85193, K_{2} \approx 2429.85193

Show Solution