Solve h^2406-9 - ScanMath

Question

Simplify the expression

406 h^{2} - 9

Evaluate

h^{2} \times 406 - 9

Solution

406 h^{2} - 9

Show Solution

h_{1} = - \frac{3 406}{406}, h_{2} = \frac{3 406}{406}

Alternative Form

h_{1} \approx - 0.148888, h_{2} \approx 0.148888

Evaluate

h^{2} \times 406 - 9

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

h^{2} \times 406 - 9 = 0

Use the commutative property to reorder the terms

406 h^{2} - 9 = 0

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

406 h^{2} = 0 + 9

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

406 h^{2} = 9

Divide both sides

\frac{406 h ^{2}}{406} = \frac{9}{406}

Divide the numbers

h^{2} = \frac{9}{406}

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

h = \pm \frac{9}{406}

Simplify the expression

More Steps

Evaluate

\frac{9}{406}

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

\frac{9}{406}

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}{406}

Multiply by the Conjugate

\frac{3 406}{406 \times 406}

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

\frac{3 406}{406}

h = \pm \frac{3 406}{406}

Separate the equation into 2 possible cases

h = \frac{3 406}{406} h = - \frac{3 406}{406}

Solution

h_{1} = - \frac{3 406}{406}, h_{2} = \frac{3 406}{406}

Alternative Form

h_{1} \approx - 0.148888, h_{2} \approx 0.148888

Show Solution