Solve h^2406-51-0

Question

Simplify the expression

406 h^{2} - 51

Evaluate

h^{2} \times 406 - 51 - 0

Use the commutative property to reorder the terms

406 h^{2} - 51 - 0

Solution

406 h^{2} - 51

Show Solution

h_{1} = - \frac{20706}{406}, h_{2} = \frac{20706}{406}

Alternative Form

h_{1} \approx - 0.354423, h_{2} \approx 0.354423

Evaluate

h^{2} \times 406 - 51 - 0

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

h^{2} \times 406 - 51 - 0 = 0

Use the commutative property to reorder the terms

406 h^{2} - 51 - 0 = 0

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

406 h^{2} - 51 = 0

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

406 h^{2} = 0 + 51

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

406 h^{2} = 51

Divide both sides

\frac{406 h ^{2}}{406} = \frac{51}{406}

Divide the numbers

h^{2} = \frac{51}{406}

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

h = \pm \frac{51}{406}

Simplify the expression

More Steps

Evaluate

\frac{51}{406}

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

\frac{51}{406}

Multiply by the Conjugate

\frac{51 \times 406}{406 \times 406}

Multiply the numbers

More Steps

Evaluate

51 \times 406

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

51 \times 406

Calculate the product

20706

\frac{20706}{406 \times 406}

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

\frac{20706}{406}

h = \pm \frac{20706}{406}

Separate the equation into 2 possible cases

h = \frac{20706}{406} h = - \frac{20706}{406}

Solution

h_{1} = - \frac{20706}{406}, h_{2} = \frac{20706}{406}

Alternative Form

h_{1} \approx - 0.354423, h_{2} \approx 0.354423

Show Solution