Solve h^2247-1 - ScanMath

Question

Simplify the expression

247 h^{2} - 1

Evaluate

h^{2} \times 247 - 1

Solution

247 h^{2} - 1

Show Solution

h_{1} = - \frac{247}{247}, h_{2} = \frac{247}{247}

Alternative Form

h_{1} \approx - 0.063628, h_{2} \approx 0.063628

Evaluate

h^{2} \times 247 - 1

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

h^{2} \times 247 - 1 = 0

Use the commutative property to reorder the terms

247 h^{2} - 1 = 0

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

247 h^{2} = 0 + 1

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

247 h^{2} = 1

Divide both sides

\frac{247 h ^{2}}{247} = \frac{1}{247}

Divide the numbers

h^{2} = \frac{1}{247}

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

h = \pm \frac{1}{247}

Simplify the expression

More Steps

Evaluate

\frac{1}{247}

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

\frac{1}{247}

Simplify the radical expression

\frac{1}{247}

Multiply by the Conjugate

\frac{247}{247 \times 247}

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

\frac{247}{247}

h = \pm \frac{247}{247}

Separate the equation into 2 possible cases

h = \frac{247}{247} h = - \frac{247}{247}

Solution

h_{1} = - \frac{247}{247}, h_{2} = \frac{247}{247}

Alternative Form

h_{1} \approx - 0.063628, h_{2} \approx 0.063628

Show Solution