Solve u^22-1 - ScanMath

Evaluate

u^{2} \times 2 - 1

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

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

Use the commutative property to reorder the terms

2 u^{2} - 1 = 0

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

2 u^{2} = 0 + 1

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

2 u^{2} = 1

Divide both sides

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

Divide the numbers

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

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

u = \pm \frac{1}{2}

Simplify the expression

More Steps

u = \pm \frac{2}{2}

Separate the equation into 2 possible cases

u = \frac{2}{2} u = - \frac{2}{2}

Solution

u_{1} = - \frac{2}{2}, u_{2} = \frac{2}{2}

Alternative Form

u_{1} \approx - 0.707107, u_{2} \approx 0.707107

Simplify the expression