Solve 80- 40/(10x^4)

Question

Simplify the expression

\frac{80 x ^{4} - 4}{x ^{4}}

Show Solution

x = 0

Show Solution

x_{1} = - \frac{4 500}{10}, x_{2} = \frac{4 500}{10}

Alternative Form

x_{1} \approx - 0.472871, x_{2} \approx 0.472871

Evaluate

80 - \frac{40}{10 x ^{4}}

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

80 - \frac{40}{10 x ^{4}} = 0

Find the domain

More Steps

80 - \frac{40}{10 x ^{4}} = 0, x \neq = 0

Calculate

80 - \frac{40}{10 x ^{4}} = 0

Calculate

More Steps

80 - \frac{4}{x ^{4}} = 0

Subtract the terms

More Steps

\frac{80 x ^{4} - 4}{x ^{4}} = 0

Cross multiply

80 x^{4} - 4 = x^{4} \times 0

Simplify the equation

80 x^{4} - 4 = 0

Move the constant to the right side

80 x^{4} = 4

Divide both sides

\frac{80 x ^{4}}{80} = \frac{4}{80}

Divide the numbers

x^{4} = \frac{4}{80}

Cancel out the common factor 4

x^{4} = \frac{1}{20}

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

x = \pm 4 \frac{1}{20}

Simplify the expression

More Steps

x = \pm \frac{4 500}{10}

Separate the equation into 2 possible cases

x = \frac{4 500}{10} x = - \frac{4 500}{10}

Check if the solution is in the defined range

x = \frac{4 500}{10} x = - \frac{4 500}{10}, x \neq = 0

Find the intersection of the solution and the defined range

x = \frac{4 500}{10} x = - \frac{4 500}{10}

Solution

x_{1} = - \frac{4 500}{10}, x_{2} = \frac{4 500}{10}

Alternative Form

x_{1} \approx - 0.472871, x_{2} \approx 0.472871

Show Solution