Solve h^2461-9-0 - ScanMath

Question

Simplify the expression

461 h^{2} - 9

Evaluate

h^{2} \times 461 - 9 - 0

Use the commutative property to reorder the terms

461 h^{2} - 9 - 0

Solution

461 h^{2} - 9

Show Solution

h_{1} = - \frac{3 461}{461}, h_{2} = \frac{3 461}{461}

Alternative Form

h_{1} \approx - 0.139724, h_{2} \approx 0.139724

Evaluate

h^{2} \times 461 - 9 - 0

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

h^{2} \times 461 - 9 - 0 = 0

Use the commutative property to reorder the terms

461 h^{2} - 9 - 0 = 0

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

461 h^{2} - 9 = 0

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

461 h^{2} = 0 + 9

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

461 h^{2} = 9

Divide both sides

\frac{461 h ^{2}}{461} = \frac{9}{461}

Divide the numbers

h^{2} = \frac{9}{461}

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

h = \pm \frac{9}{461}

Simplify the expression

More Steps

Evaluate

\frac{9}{461}

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

\frac{9}{461}

Simplify the radical expression

More Steps

Evaluate

9

Write the number in exponential form with the base of 3

3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{3}{461}

Multiply by the Conjugate

\frac{3 461}{461 \times 461}

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

\frac{3 461}{461}

h = \pm \frac{3 461}{461}

Separate the equation into 2 possible cases

h = \frac{3 461}{461} h = - \frac{3 461}{461}

Solution

h_{1} = - \frac{3 461}{461}, h_{2} = \frac{3 461}{461}

Alternative Form

h_{1} \approx - 0.139724, h_{2} \approx 0.139724

Show Solution