Solve 2^2-4x^23 - ScanMath

Question

Simplify the expression

4 - 12 x^{2}

Evaluate

2^{2} - 4 x^{2} \times 3

Multiply the terms

2^{2} - 12 x^{2}

Solution

4 - 12 x^{2}

Show Solution

4 (1 - 3 x^{2})

Evaluate

2^{2} - 4 x^{2} \times 3

Multiply the terms

2^{2} - 12 x^{2}

Solution

4 (1 - 3 x^{2})

Show Solution

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

Alternative Form

x_{1} \approx - 0.57735, x_{2} \approx 0.57735

Evaluate

2^{2} - 4 x^{2} \times 3

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

2^{2} - 4 x^{2} \times 3 = 0

Multiply the terms

2^{2} - 12 x^{2} = 0

Evaluate the power

4 - 12 x^{2} = 0

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

- 12 x^{2} = 0 - 4

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

- 12 x^{2} = - 4

Change the signs on both sides of the equation

12 x^{2} = 4

Divide both sides

\frac{12 x ^{2}}{12} = \frac{4}{12}

Divide the numbers

x^{2} = \frac{4}{12}

Cancel out the common factor 4

x^{2} = \frac{1}{3}

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

x = \pm \frac{1}{3}

Simplify the expression

More Steps

Evaluate

\frac{1}{3}

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

\frac{1}{3}

Simplify the radical expression

\frac{1}{3}

Multiply by the Conjugate

\frac{3}{3 \times 3}

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

\frac{3}{3}

x = \pm \frac{3}{3}

Separate the equation into 2 possible cases

x = \frac{3}{3} x = - \frac{3}{3}

Solution

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

Alternative Form

x_{1} \approx - 0.57735, x_{2} \approx 0.57735

Show Solution