Solve h^2506-1 - ScanMath

Question

Simplify the expression

506 h^{2} - 1

Evaluate

h^{2} \times 506 - 1

Solution

506 h^{2} - 1

Show Solution

h_{1} = - \frac{506}{506}, h_{2} = \frac{506}{506}

Alternative Form

h_{1} \approx - 0.044455, h_{2} \approx 0.044455

Evaluate

h^{2} \times 506 - 1

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

h^{2} \times 506 - 1 = 0

Use the commutative property to reorder the terms

506 h^{2} - 1 = 0

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

506 h^{2} = 0 + 1

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

506 h^{2} = 1

Divide both sides

\frac{506 h ^{2}}{506} = \frac{1}{506}

Divide the numbers

h^{2} = \frac{1}{506}

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

h = \pm \frac{1}{506}

Simplify the expression

More Steps

Evaluate

\frac{1}{506}

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

\frac{1}{506}

Simplify the radical expression

\frac{1}{506}

Multiply by the Conjugate

\frac{506}{506 \times 506}

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

\frac{506}{506}

h = \pm \frac{506}{506}

Separate the equation into 2 possible cases

h = \frac{506}{506} h = - \frac{506}{506}

Solution

h_{1} = - \frac{506}{506}, h_{2} = \frac{506}{506}

Alternative Form

h_{1} \approx - 0.044455, h_{2} \approx 0.044455

Show Solution