Solve 3-2x x - ScanMath

Question

Simplify the expression

3 - 2 x^{2}

Evaluate

3 - 2 x \times x

Solution

3 - 2 x^{2}

Show Solution

x_{1} = - \frac{6}{2}, x_{2} = \frac{6}{2}

Alternative Form

x_{1} \approx - 1.224745, x_{2} \approx 1.224745

Evaluate

3 - 2 x \times x

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

3 - 2 x \times x = 0

Multiply the terms

3 - 2 x^{2} = 0

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

- 2 x^{2} = 0 - 3

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

- 2 x^{2} = - 3

Change the signs on both sides of the equation

2 x^{2} = 3

Divide both sides

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

Divide the numbers

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

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

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

Simplify the expression

More Steps

Evaluate

\frac{3}{2}

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

\frac{3}{2}

Multiply by the Conjugate

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

Multiply the numbers

More Steps

Evaluate

3 \times 2

The product of roots with the same index is equal to the root of the product

3 \times 2

Calculate the product

6

\frac{6}{2 \times 2}

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

\frac{6}{2}

x = \pm \frac{6}{2}

Separate the equation into 2 possible cases

x = \frac{6}{2} x = - \frac{6}{2}

Solution

x_{1} = - \frac{6}{2}, x_{2} = \frac{6}{2}

Alternative Form

x_{1} \approx - 1.224745, x_{2} \approx 1.224745

Show Solution