Solve x 13x-1 - ScanMath

Question

Simplify the expression

13 x^{2} - 1

Evaluate

x \times 13 x - 1

Solution

More Steps

Evaluate

x \times 13 x

Multiply the terms

x^{2} \times 13

Use the commutative property to reorder the terms

13 x^{2}

13 x^{2} - 1

Show Solution

x_{1} = - \frac{13}{13}, x_{2} = \frac{13}{13}

Alternative Form

x_{1} \approx - 0.27735, x_{2} \approx 0.27735

Evaluate

x \times 13 x - 1

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

x \times 13 x - 1 = 0

Multiply

More Steps

Multiply the terms

x \times 13 x

Multiply the terms

x^{2} \times 13

Use the commutative property to reorder the terms

13 x^{2}

13 x^{2} - 1 = 0

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

13 x^{2} = 0 + 1

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

13 x^{2} = 1

Divide both sides

\frac{13 x ^{2}}{13} = \frac{1}{13}

Divide the numbers

x^{2} = \frac{1}{13}

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

x = \pm \frac{1}{13}

Simplify the expression

More Steps

Evaluate

\frac{1}{13}

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

\frac{1}{13}

Simplify the radical expression

\frac{1}{13}

Multiply by the Conjugate

\frac{13}{13 \times 13}

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

\frac{13}{13}

x = \pm \frac{13}{13}

Separate the equation into 2 possible cases

x = \frac{13}{13} x = - \frac{13}{13}

Solution

x_{1} = - \frac{13}{13}, x_{2} = \frac{13}{13}

Alternative Form

x_{1} \approx - 0.27735, x_{2} \approx 0.27735

Show Solution