Solve h^2450-44-0

Question

Simplify the expression

450 h^{2} - 44

Evaluate

h^{2} \times 450 - 44 - 0

Use the commutative property to reorder the terms

450 h^{2} - 44 - 0

Solution

450 h^{2} - 44

Show Solution

2 (225 h^{2} - 22)

Evaluate

h^{2} \times 450 - 44 - 0

Use the commutative property to reorder the terms

450 h^{2} - 44 - 0

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

450 h^{2} - 44

Solution

2 (225 h^{2} - 22)

Show Solution

h_{1} = - \frac{22}{15}, h_{2} = \frac{22}{15}

Alternative Form

h_{1} \approx - 0.312694, h_{2} \approx 0.312694

Evaluate

h^{2} \times 450 - 44 - 0

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

h^{2} \times 450 - 44 - 0 = 0

Use the commutative property to reorder the terms

450 h^{2} - 44 - 0 = 0

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

450 h^{2} - 44 = 0

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

450 h^{2} = 0 + 44

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

450 h^{2} = 44

Divide both sides

\frac{450 h ^{2}}{450} = \frac{44}{450}

Divide the numbers

h^{2} = \frac{44}{450}

Cancel out the common factor 2

h^{2} = \frac{22}{225}

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

h = \pm \frac{22}{225}

Simplify the expression

More Steps

Evaluate

\frac{22}{225}

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

\frac{22}{225}

Simplify the radical expression

More Steps

Evaluate

225

Write the number in exponential form with the base of 15

1 5^{2}

Reduce the index of the radical and exponent with 2

15

\frac{22}{15}

h = \pm \frac{22}{15}

Separate the equation into 2 possible cases

h = \frac{22}{15} h = - \frac{22}{15}

Solution

h_{1} = - \frac{22}{15}, h_{2} = \frac{22}{15}

Alternative Form

h_{1} \approx - 0.312694, h_{2} \approx 0.312694

Show Solution