Solve h^2802-1 - ScanMath

Question

Simplify the expression

802 h^{2} - 1

Evaluate

h^{2} \times 802 - 1

Solution

802 h^{2} - 1

Show Solution

h_{1} = - \frac{802}{802}, h_{2} = \frac{802}{802}

Alternative Form

h_{1} \approx - 0.035311, h_{2} \approx 0.035311

Evaluate

h^{2} \times 802 - 1

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

h^{2} \times 802 - 1 = 0

Use the commutative property to reorder the terms

802 h^{2} - 1 = 0

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

802 h^{2} = 0 + 1

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

802 h^{2} = 1

Divide both sides

\frac{802 h ^{2}}{802} = \frac{1}{802}

Divide the numbers

h^{2} = \frac{1}{802}

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

h = \pm \frac{1}{802}

Simplify the expression

More Steps

Evaluate

\frac{1}{802}

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

\frac{1}{802}

Simplify the radical expression

\frac{1}{802}

Multiply by the Conjugate

\frac{802}{802 \times 802}

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

\frac{802}{802}

h = \pm \frac{802}{802}

Separate the equation into 2 possible cases

h = \frac{802}{802} h = - \frac{802}{802}

Solution

h_{1} = - \frac{802}{802}, h_{2} = \frac{802}{802}

Alternative Form

h_{1} \approx - 0.035311, h_{2} \approx 0.035311

Show Solution