Solve x^(2)-14x^45

Question

Simplify the expression

x^{2} - 70 x^{4}

Evaluate

x^{2} - 14 x^{4} \times 5

Solution

x^{2} - 70 x^{4}

Show Solution

x^{2} (1 - 70 x^{2})

Evaluate

x^{2} - 14 x^{4} \times 5

Multiply the terms

x^{2} - 70 x^{4}

Rewrite the expression

x^{2} - x^{2} \times 70 x^{2}

Solution

x^{2} (1 - 70 x^{2})

Show Solution

x_{1} = - \frac{70}{70}, x_{2} = 0, x_{3} = \frac{70}{70}

Alternative Form

x_{1} \approx - 0.119523, x_{2} = 0, x_{3} \approx 0.119523

Evaluate

x^{2} - 14 x^{4} \times 5

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

x^{2} - 14 x^{4} \times 5 = 0

Multiply the terms

x^{2} - 70 x^{4} = 0

Factor the expression

x^{2} (1 - 70 x^{2}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 1 - 70 x^{2} = 0

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

x = 0 1 - 70 x^{2} = 0

Solve the equation

More Steps

Evaluate

1 - 70 x^{2} = 0

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

- 70 x^{2} = 0 - 1

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

- 70 x^{2} = - 1

Change the signs on both sides of the equation

70 x^{2} = 1

Divide both sides

\frac{70 x ^{2}}{70} = \frac{1}{70}

Divide the numbers

x^{2} = \frac{1}{70}

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

x = \pm \frac{1}{70}

Simplify the expression

More Steps

Evaluate

\frac{1}{70}

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

\frac{1}{70}

Simplify the radical expression

\frac{1}{70}

Multiply by the Conjugate

\frac{70}{70 \times 70}

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

\frac{70}{70}

x = \pm \frac{70}{70}

Separate the equation into 2 possible cases

x = \frac{70}{70} x = - \frac{70}{70}

x = 0 x = \frac{70}{70} x = - \frac{70}{70}

Solution

x_{1} = - \frac{70}{70}, x_{2} = 0, x_{3} = \frac{70}{70}

Alternative Form

x_{1} \approx - 0.119523, x_{2} = 0, x_{3} \approx 0.119523

Show Solution