Solve h^2461-1 e - ScanMath

Question

Simplify the expression

461 h^{2} - e

Evaluate

h^{2} \times 461 - 1 \times e

Use the commutative property to reorder the terms

461 h^{2} - 1 \times e

Solution

461 h^{2} - e

Show Solution

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

Alternative Form

h_{1} \approx - 0.076789, h_{2} \approx 0.076789

Evaluate

h^{2} \times 461 - 1 \times e

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

h^{2} \times 461 - 1 \times e = 0

Use the commutative property to reorder the terms

461 h^{2} - 1 \times e = 0

Multiply the numbers

461 h^{2} - e = 0

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

461 h^{2} = 0 + e

Add the terms

461 h^{2} = e

Divide both sides

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

Divide the numbers

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

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

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

Simplify the expression

More Steps

Evaluate

\frac{e}{461}

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

\frac{e}{461}

Multiply by the Conjugate

\frac{e \times 461}{461 \times 461}

Multiply the numbers

More Steps

Evaluate

e \times 461

The product of roots with the same index is equal to the root of the product

e \times 461

Calculate the product

461 e

\frac{461 e}{461 \times 461}

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

\frac{461 e}{461}

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

Separate the equation into 2 possible cases

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

Solution

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

Alternative Form

h_{1} \approx - 0.076789, h_{2} \approx 0.076789

Show Solution