Solve 4x^2 x - 2x : x^2

Question

Simplify the expression

\frac{4 x ^{4} - 2}{x}

Show Solution

x = 0

Show Solution

x_{1} = - \frac{4 8}{2}, x_{2} = \frac{4 8}{2}

Alternative Form

x_{1} \approx - 0.840896, x_{2} \approx 0.840896

Evaluate

4 x^{2} \times x - 2 x \div x^{2}

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

4 x^{2} \times x - 2 x \div x^{2} = 0

The only way a power can not be 0 is when the base not equals 0

4 x^{2} \times x - 2 x \div x^{2} = 0, x \neq = 0

Calculate

4 x^{2} \times x - 2 x \div x^{2} = 0

Multiply

More Steps

4 x^{3} - 2 x \div x^{2} = 0

Divide the terms

More Steps

4 x^{3} - \frac{2}{x} = 0

Subtract the terms

More Steps

\frac{4 x ^{4} - 2}{x} = 0

Cross multiply

4 x^{4} - 2 = x \times 0

Simplify the equation

4 x^{4} - 2 = 0

Move the constant to the right side

4 x^{4} = 2

Divide both sides

\frac{4 x ^{4}}{4} = \frac{2}{4}

Divide the numbers

x^{4} = \frac{2}{4}

Cancel out the common factor 2

x^{4} = \frac{1}{2}

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

x = \pm 4 \frac{1}{2}

Simplify the expression

More Steps

x = \pm \frac{4 8}{2}

Separate the equation into 2 possible cases

x = \frac{4 8}{2} x = - \frac{4 8}{2}

Check if the solution is in the defined range

x = \frac{4 8}{2} x = - \frac{4 8}{2}, x \neq = 0

Find the intersection of the solution and the defined range

x = \frac{4 8}{2} x = - \frac{4 8}{2}

Solution

x_{1} = - \frac{4 8}{2}, x_{2} = \frac{4 8}{2}

Alternative Form

x_{1} \approx - 0.840896, x_{2} \approx 0.840896

Show Solution