Solve 1x^2005097-1

Question

Simplify the expression

5097 x^{2} - 1

Evaluate

1 \times x^{2} \times 5097 - 1

Solution

More Steps

Evaluate

1 \times x^{2} \times 5097

Rewrite the expression

x^{2} \times 5097

Use the commutative property to reorder the terms

5097 x^{2}

5097 x^{2} - 1

Show Solution

x_{1} = - \frac{5097}{5097}, x_{2} = \frac{5097}{5097}

Alternative Form

x_{1} \approx - 0.014007, x_{2} \approx 0.014007

Evaluate

1 \times x^{2} \times 5097 - 1

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

1 \times x^{2} \times 5097 - 1 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times x^{2} \times 5097

Rewrite the expression

x^{2} \times 5097

Use the commutative property to reorder the terms

5097 x^{2}

5097 x^{2} - 1 = 0

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

5097 x^{2} = 0 + 1

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

5097 x^{2} = 1

Divide both sides

\frac{5097 x ^{2}}{5097} = \frac{1}{5097}

Divide the numbers

x^{2} = \frac{1}{5097}

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

x = \pm \frac{1}{5097}

Simplify the expression

More Steps

Evaluate

\frac{1}{5097}

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

\frac{1}{5097}

Simplify the radical expression

\frac{1}{5097}

Multiply by the Conjugate

\frac{5097}{5097 \times 5097}

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

\frac{5097}{5097}

x = \pm \frac{5097}{5097}

Separate the equation into 2 possible cases

x = \frac{5097}{5097} x = - \frac{5097}{5097}

Solution

x_{1} = - \frac{5097}{5097}, x_{2} = \frac{5097}{5097}

Alternative Form

x_{1} \approx - 0.014007, x_{2} \approx 0.014007

Show Solution