Solve h^2268-1 - ScanMath

Question

Simplify the expression

268 h^{2} - 1

Evaluate

h^{2} \times 268 - 1

Solution

268 h^{2} - 1

Show Solution

h_{1} = - \frac{67}{134}, h_{2} = \frac{67}{134}

Alternative Form

h_{1} \approx - 0.061085, h_{2} \approx 0.061085

Evaluate

h^{2} \times 268 - 1

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

h^{2} \times 268 - 1 = 0

Use the commutative property to reorder the terms

268 h^{2} - 1 = 0

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

268 h^{2} = 0 + 1

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

268 h^{2} = 1

Divide both sides

\frac{268 h ^{2}}{268} = \frac{1}{268}

Divide the numbers

h^{2} = \frac{1}{268}

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

h = \pm \frac{1}{268}

Simplify the expression

More Steps

Evaluate

\frac{1}{268}

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

\frac{1}{268}

Simplify the radical expression

\frac{1}{268}

Simplify the radical expression

More Steps

Evaluate

268

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 67

Write the number in exponential form with the base of 2

2^{2} \times 67

The root of a product is equal to the product of the roots of each factor

2^{2} \times 67

Reduce the index of the radical and exponent with 2

267

\frac{1}{2 67}

Multiply by the Conjugate

\frac{67}{2 67 \times 67}

Multiply the numbers

More Steps

Evaluate

267 \times 67

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

2 \times 67

Multiply the terms

134

\frac{67}{134}

h = \pm \frac{67}{134}

Separate the equation into 2 possible cases

h = \frac{67}{134} h = - \frac{67}{134}

Solution

h_{1} = - \frac{67}{134}, h_{2} = \frac{67}{134}

Alternative Form

h_{1} \approx - 0.061085, h_{2} \approx 0.061085

Show Solution