Solve 25-622700x^250

Question

Simplify the expression

Solution

25 - 31135000 x^{2}

Evaluate

25 - 622700 x^{2} \times 50

Solution

25 - 31135000 x^{2}

Show Solution

Factor the expression

Factor

25 (1 - 1245400 x^{2})

Evaluate

25 - 622700 x^{2} \times 50

Multiply the terms

25 - 31135000 x^{2}

Solution

25 (1 - 1245400 x^{2})

Show Solution

Find the roots

Find the roots of the algebra expression

x_{1} = - \frac{12454}{124540}, x_{2} = \frac{12454}{124540}

Alternative Form

x_{1} \approx - 0.000896, x_{2} \approx 0.000896

Evaluate

25 - 622700 x^{2} \times 50

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

25 - 622700 x^{2} \times 50 = 0

Multiply the terms

25 - 31135000 x^{2} = 0

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

- 31135000 x^{2} = 0 - 25

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

- 31135000 x^{2} = - 25

Change the signs on both sides of the equation

31135000 x^{2} = 25

Divide both sides

\frac{31135000 x ^{2}}{31135000} = \frac{25}{31135000}

Divide the numbers

x^{2} = \frac{25}{31135000}

Cancel out the common factor 25

x^{2} = \frac{1}{1245400}

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

x = \pm \frac{1}{1245400}

Simplify the expression

More Steps

Evaluate

\frac{1}{1245400}

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

\frac{1}{1245400}

Simplify the radical expression

\frac{1}{1245400}

Simplify the radical expression

More Steps

Evaluate

1245400

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

100 \times 12454

Write the number in exponential form with the base of 10

1 0^{2} \times 12454

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

1 0^{2} \times 12454

Reduce the index of the radical and exponent with 2

1012454

\frac{1}{10 12454}

Multiply by the Conjugate

\frac{12454}{10 12454 \times 12454}

Multiply the numbers

More Steps

Evaluate

1012454 \times 12454

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

10 \times 12454

Multiply the terms

124540

\frac{12454}{124540}

x = \pm \frac{12454}{124540}

Separate the equation into 2 possible cases

x = \frac{12454}{124540} x = - \frac{12454}{124540}

Solution

x_{1} = - \frac{12454}{124540}, x_{2} = \frac{12454}{124540}

Alternative Form

x_{1} \approx - 0.000896, x_{2} \approx 0.000896

Show Solution

25 622700x^250

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression