Solve 12-6x^24 - ScanMath

Question

Simplify the expression

12 - 24 x^{2}

Evaluate

12 - 6 x^{2} \times 4

Solution

12 - 24 x^{2}

Show Solution

12 (1 - 2 x^{2})

Evaluate

12 - 6 x^{2} \times 4

Multiply the terms

12 - 24 x^{2}

Solution

12 (1 - 2 x^{2})

Show Solution

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

Alternative Form

x_{1} \approx - 0.707107, x_{2} \approx 0.707107

Evaluate

12 - 6 x^{2} \times 4

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

12 - 6 x^{2} \times 4 = 0

Multiply the terms

12 - 24 x^{2} = 0

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

- 24 x^{2} = 0 - 12

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

- 24 x^{2} = - 12

Change the signs on both sides of the equation

24 x^{2} = 12

Divide both sides

\frac{24 x ^{2}}{24} = \frac{12}{24}

Divide the numbers

x^{2} = \frac{12}{24}

Cancel out the common factor 12

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

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

x = \pm \frac{1}{2}

Simplify the expression

More Steps

Evaluate

\frac{1}{2}

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

\frac{1}{2}

Simplify the radical expression

\frac{1}{2}

Multiply by the Conjugate

\frac{2}{2 \times 2}

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

\frac{2}{2}

x = \pm \frac{2}{2}

Separate the equation into 2 possible cases

x = \frac{2}{2} x = - \frac{2}{2}

Solution

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

Alternative Form

x_{1} \approx - 0.707107, x_{2} \approx 0.707107

Show Solution