Solve h^2458-2-0 - ScanMath

Question

Simplify the expression

458 h^{2} - 2

Evaluate

h^{2} \times 458 - 2 - 0

Use the commutative property to reorder the terms

458 h^{2} - 2 - 0

Solution

458 h^{2} - 2

Show Solution

2 (229 h^{2} - 1)

Evaluate

h^{2} \times 458 - 2 - 0

Use the commutative property to reorder the terms

458 h^{2} - 2 - 0

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

458 h^{2} - 2

Solution

2 (229 h^{2} - 1)

Show Solution

h_{1} = - \frac{229}{229}, h_{2} = \frac{229}{229}

Alternative Form

h_{1} \approx - 0.066082, h_{2} \approx 0.066082

Evaluate

h^{2} \times 458 - 2 - 0

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

h^{2} \times 458 - 2 - 0 = 0

Use the commutative property to reorder the terms

458 h^{2} - 2 - 0 = 0

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

458 h^{2} - 2 = 0

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

458 h^{2} = 0 + 2

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

458 h^{2} = 2

Divide both sides

\frac{458 h ^{2}}{458} = \frac{2}{458}

Divide the numbers

h^{2} = \frac{2}{458}

Cancel out the common factor 2

h^{2} = \frac{1}{229}

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

h = \pm \frac{1}{229}

Simplify the expression

More Steps

Evaluate

\frac{1}{229}

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

\frac{1}{229}

Simplify the radical expression

\frac{1}{229}

Multiply by the Conjugate

\frac{229}{229 \times 229}

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

\frac{229}{229}

h = \pm \frac{229}{229}

Separate the equation into 2 possible cases

h = \frac{229}{229} h = - \frac{229}{229}

Solution

h_{1} = - \frac{229}{229}, h_{2} = \frac{229}{229}

Alternative Form

h_{1} \approx - 0.066082, h_{2} \approx 0.066082

Show Solution