Solve x^2-20x^44 - ScanMath

Question

Simplify the expression

x^{2} - 80 x^{4}

Evaluate

x^{2} - 20 x^{4} \times 4

Solution

x^{2} - 80 x^{4}

Show Solution

x^{2} (1 - 80 x^{2})

Evaluate

x^{2} - 20 x^{4} \times 4

Multiply the terms

x^{2} - 80 x^{4}

Rewrite the expression

x^{2} - x^{2} \times 80 x^{2}

Solution

x^{2} (1 - 80 x^{2})

Show Solution

x_{1} = - \frac{5}{20}, x_{2} = 0, x_{3} = \frac{5}{20}

Alternative Form

x_{1} \approx - 0.111803, x_{2} = 0, x_{3} \approx 0.111803

Evaluate

x^{2} - 20 x^{4} \times 4

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

x^{2} - 20 x^{4} \times 4 = 0

Multiply the terms

x^{2} - 80 x^{4} = 0

Factor the expression

x^{2} (1 - 80 x^{2}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 1 - 80 x^{2} = 0

The only way a power can be 0 is when the base equals 0

x = 0 1 - 80 x^{2} = 0

Solve the equation

More Steps

Evaluate

1 - 80 x^{2} = 0

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

- 80 x^{2} = 0 - 1

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

- 80 x^{2} = - 1

Change the signs on both sides of the equation

80 x^{2} = 1

Divide both sides

\frac{80 x ^{2}}{80} = \frac{1}{80}

Divide the numbers

x^{2} = \frac{1}{80}

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

x = \pm \frac{1}{80}

Simplify the expression

More Steps

Evaluate

\frac{1}{80}

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

\frac{1}{80}

Simplify the radical expression

\frac{1}{80}

Simplify the radical expression

\frac{1}{4 5}

Multiply by the Conjugate

\frac{5}{4 5 \times 5}

Multiply the numbers

\frac{5}{20}

x = \pm \frac{5}{20}

Separate the equation into 2 possible cases

x = \frac{5}{20} x = - \frac{5}{20}

x = 0 x = \frac{5}{20} x = - \frac{5}{20}

Solution

x_{1} = - \frac{5}{20}, x_{2} = 0, x_{3} = \frac{5}{20}

Alternative Form

x_{1} \approx - 0.111803, x_{2} = 0, x_{3} \approx 0.111803

Show Solution