Solve 25x^36/x-1 - ScanMath

Question

Simplify the expression

150 x^{2} - 1

Evaluate

25 x^{3} \times \frac{6}{x} - 1

Solution

More Steps

Multiply the terms

25 x^{3} \times \frac{6}{x}

Cancel out the common factor x

25 x^{2} \times 6

Multiply the terms

150 x^{2}

150 x^{2} - 1

Show Solution

x = 0

Evaluate

25 x^{3} \times \frac{6}{x} - 1

Solution

x = 0

Show Solution

x_{1} = - \frac{6}{30}, x_{2} = \frac{6}{30}

Alternative Form

x_{1} \approx - 0.08165, x_{2} \approx 0.08165

Evaluate

25 x^{3} \times \frac{6}{x} - 1

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

25 x^{3} \times \frac{6}{x} - 1 = 0

Find the domain

25 x^{3} \times \frac{6}{x} - 1 = 0, x \neq = 0

Calculate

25 x^{3} \times \frac{6}{x} - 1 = 0

Multiply the terms

More Steps

Multiply the terms

25 x^{3} \times \frac{6}{x}

Cancel out the common factor x

25 x^{2} \times 6

Multiply the terms

150 x^{2}

150 x^{2} - 1 = 0

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

150 x^{2} = 0 + 1

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

150 x^{2} = 1

Divide both sides

\frac{150 x ^{2}}{150} = \frac{1}{150}

Divide the numbers

x^{2} = \frac{1}{150}

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

x = \pm \frac{1}{150}

Simplify the expression

More Steps

Evaluate

\frac{1}{150}

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

\frac{1}{150}

Simplify the radical expression

\frac{1}{150}

Simplify the radical expression

More Steps

Evaluate

150

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

25 \times 6

Write the number in exponential form with the base of 5

5^{2} \times 6

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

5^{2} \times 6

Reduce the index of the radical and exponent with 2

56

\frac{1}{5 6}

Multiply by the Conjugate

\frac{6}{5 6 \times 6}

Multiply the numbers

More Steps

Evaluate

56 \times 6

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

5 \times 6

Multiply the terms

30

\frac{6}{30}

x = \pm \frac{6}{30}

Separate the equation into 2 possible cases

x = \frac{6}{30} x = - \frac{6}{30}

Check if the solution is in the defined range

x = \frac{6}{30} x = - \frac{6}{30}, x \neq = 0

Find the intersection of the solution and the defined range

x = \frac{6}{30} x = - \frac{6}{30}

Solution

x_{1} = - \frac{6}{30}, x_{2} = \frac{6}{30}

Alternative Form

x_{1} \approx - 0.08165, x_{2} \approx 0.08165

Show Solution