Solve 6x/2x-4 - ScanMath

Question

Simplify the expression

3 x^{2} - 4

Evaluate

(6 \times \frac{x}{2}) x - 4

Remove the parentheses

6 \times \frac{x}{2} x - 4

Solution

More Steps

Evaluate

6 \times \frac{x}{2} x

Cancel out the common factor 2

3 x \times x

Multiply the terms

3 x^{2}

3 x^{2} - 4

Show Solution

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

Alternative Form

x_{1} \approx - 1.154701, x_{2} \approx 1.154701

Evaluate

(6 \times \frac{x}{2}) x - 4

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

(6 \times \frac{x}{2}) x - 4 = 0

Cancel out the common factor 2

3 x \times x - 4 = 0

Multiply the terms

3 x^{2} - 4 = 0

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

3 x^{2} = 0 + 4

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

3 x^{2} = 4

Divide both sides

\frac{3 x ^{2}}{3} = \frac{4}{3}

Divide the numbers

x^{2} = \frac{4}{3}

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

x = \pm \frac{4}{3}

Simplify the expression

More Steps

Evaluate

\frac{4}{3}

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

\frac{4}{3}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{2}{3}

Multiply by the Conjugate

\frac{2 3}{3 \times 3}

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

\frac{2 3}{3}

x = \pm \frac{2 3}{3}

Separate the equation into 2 possible cases

x = \frac{2 3}{3} x = - \frac{2 3}{3}

Solution

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

Alternative Form

x_{1} \approx - 1.154701, x_{2} \approx 1.154701

Show Solution