Solve 4x 13x-2 - ScanMath

Question

Simplify the expression

52 x^{2} - 2

Evaluate

4 x \times 13 x - 2

Solution

More Steps

Evaluate

4 x \times 13 x

Multiply the terms

52 x \times x

Multiply the terms

52 x^{2}

52 x^{2} - 2

Show Solution

2 (26 x^{2} - 1)

Evaluate

4 x \times 13 x - 2

Multiply

More Steps

Evaluate

4 x \times 13 x

Multiply the terms

52 x \times x

Multiply the terms

52 x^{2}

52 x^{2} - 2

Solution

2 (26 x^{2} - 1)

Show Solution

x_{1} = - \frac{26}{26}, x_{2} = \frac{26}{26}

Alternative Form

x_{1} \approx - 0.196116, x_{2} \approx 0.196116

Evaluate

4 x \times 13 x - 2

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

4 x \times 13 x - 2 = 0

Multiply

More Steps

Multiply the terms

4 x \times 13 x

Multiply the terms

52 x \times x

Multiply the terms

52 x^{2}

52 x^{2} - 2 = 0

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

52 x^{2} = 0 + 2

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

52 x^{2} = 2

Divide both sides

\frac{52 x ^{2}}{52} = \frac{2}{52}

Divide the numbers

x^{2} = \frac{2}{52}

Cancel out the common factor 2

x^{2} = \frac{1}{26}

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

x = \pm \frac{1}{26}

Simplify the expression

More Steps

Evaluate

\frac{1}{26}

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

\frac{1}{26}

Simplify the radical expression

\frac{1}{26}

Multiply by the Conjugate

\frac{26}{26 \times 26}

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

\frac{26}{26}

x = \pm \frac{26}{26}

Separate the equation into 2 possible cases

x = \frac{26}{26} x = - \frac{26}{26}

Solution

x_{1} = - \frac{26}{26}, x_{2} = \frac{26}{26}

Alternative Form

x_{1} \approx - 0.196116, x_{2} \approx 0.196116

Show Solution