Solve 1-x^2*2 - ScanMath

Question

Simplify the expression

1 - 2 x^{2}

Evaluate

1 - x^{2} \times 2

Solution

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

1 - x^{2} \times 2

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

1 - x^{2} \times 2 = 0

Use the commutative property to reorder the terms

1 - 2 x^{2} = 0

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

- 2 x^{2} = 0 - 1

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

- 2 x^{2} = - 1

Change the signs on both sides of the equation

2 x^{2} = 1

Divide both sides

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

Divide the numbers

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