Solve h^2172-9 - ScanMath

Question

Simplify the expression

172 h^{2} - 9

Evaluate

h^{2} \times 172 - 9

Solution

172 h^{2} - 9

Show Solution

h_{1} = - \frac{3 43}{86}, h_{2} = \frac{3 43}{86}

Alternative Form

h_{1} \approx - 0.228748, h_{2} \approx 0.228748

Evaluate

h^{2} \times 172 - 9

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

h^{2} \times 172 - 9 = 0

Use the commutative property to reorder the terms

172 h^{2} - 9 = 0

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

172 h^{2} = 0 + 9

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

172 h^{2} = 9

Divide both sides

\frac{172 h ^{2}}{172} = \frac{9}{172}

Divide the numbers

h^{2} = \frac{9}{172}

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

h = \pm \frac{9}{172}

Simplify the expression

More Steps

Evaluate

\frac{9}{172}

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

\frac{9}{172}

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}{172}

Simplify the radical expression

More Steps

Evaluate

172

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 43

Write the number in exponential form with the base of 2

2^{2} \times 43

The root of a product is equal to the product of the roots of each factor

2^{2} \times 43

Reduce the index of the radical and exponent with 2

243

\frac{3}{2 43}

Multiply by the Conjugate

\frac{3 43}{2 43 \times 43}

Multiply the numbers

More Steps

Evaluate

243 \times 43

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

2 \times 43

Multiply the terms

86

\frac{3 43}{86}

h = \pm \frac{3 43}{86}

Separate the equation into 2 possible cases

h = \frac{3 43}{86} h = - \frac{3 43}{86}

Solution

h_{1} = - \frac{3 43}{86}, h_{2} = \frac{3 43}{86}

Alternative Form

h_{1} \approx - 0.228748, h_{2} \approx 0.228748

Show Solution