Solve 4-3x x - ScanMath

Question

4 - 3 x \times x

Simplify the expression

4 - 3 x^{2}

Evaluate

4 - 3 x \times x

Solution

4 - 3 x^{2}

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

4 - 3 x \times x

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

4 - 3 x \times x = 0

Multiply the terms

4 - 3 x^{2} = 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

Change the signs on both sides of the equation

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