Solve h^2172-4 - ScanMath

Question

Simplify the expression

172 h^{2} - 4

Evaluate

h^{2} \times 172 - 4

Solution

172 h^{2} - 4

Show Solution

4 (43 h^{2} - 1)

Evaluate

h^{2} \times 172 - 4

Use the commutative property to reorder the terms

172 h^{2} - 4

Solution

4 (43 h^{2} - 1)

Show Solution

h_{1} = - \frac{43}{43}, h_{2} = \frac{43}{43}

Alternative Form

h_{1} \approx - 0.152499, h_{2} \approx 0.152499

Evaluate

h^{2} \times 172 - 4

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

h^{2} \times 172 - 4 = 0

Use the commutative property to reorder the terms

172 h^{2} - 4 = 0

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

172 h^{2} = 0 + 4

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

172 h^{2} = 4

Divide both sides

\frac{172 h ^{2}}{172} = \frac{4}{172}

Divide the numbers

h^{2} = \frac{4}{172}

Cancel out the common factor 4

h^{2} = \frac{1}{43}

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

h = \pm \frac{1}{43}

Simplify the expression

More Steps

Evaluate

\frac{1}{43}

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

\frac{1}{43}

Simplify the radical expression

\frac{1}{43}

Multiply by the Conjugate

\frac{43}{43 \times 43}

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

\frac{43}{43}

h = \pm \frac{43}{43}

Separate the equation into 2 possible cases

h = \frac{43}{43} h = - \frac{43}{43}

Solution

h_{1} = - \frac{43}{43}, h_{2} = \frac{43}{43}

Alternative Form

h_{1} \approx - 0.152499, h_{2} \approx 0.152499

Show Solution