Solve x^(2)-6x^45=0

Question

Solve the equation

Solve for x

x_{1} = - \frac{30}{30}, x_{2} = 0, x_{3} = \frac{30}{30}

Alternative Form

x_{1} \approx - 0.182574, x_{2} = 0, x_{3} \approx 0.182574

Evaluate

x^{2} - 6 x^{4} \times 5 = 0

Multiply the terms

x^{2} - 30 x^{4} = 0

Factor the expression

x^{2} (1 - 30 x^{2}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 1 - 30 x^{2} = 0

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

x = 0 1 - 30 x^{2} = 0

Solve the equation

More Steps

Evaluate

1 - 30 x^{2} = 0

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

- 30 x^{2} = 0 - 1

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

- 30 x^{2} = - 1

Change the signs on both sides of the equation

30 x^{2} = 1

Divide both sides

\frac{30 x ^{2}}{30} = \frac{1}{30}

Divide the numbers

x^{2} = \frac{1}{30}

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

x = \pm \frac{1}{30}

Simplify the expression

More Steps

Evaluate

\frac{1}{30}

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

\frac{1}{30}

Simplify the radical expression

\frac{1}{30}

Multiply by the Conjugate

\frac{30}{30 \times 30}

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

\frac{30}{30}

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

Separate the equation into 2 possible cases

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

x = 0 x = \frac{30}{30} x = - \frac{30}{30}

Solution

x_{1} = - \frac{30}{30}, x_{2} = 0, x_{3} = \frac{30}{30}

Alternative Form

x_{1} \approx - 0.182574, x_{2} = 0, x_{3} \approx 0.182574

Show Solution