Solve h^260-34-12

Question

Simplify the expression

60 h^{2} - 46

Evaluate

h^{2} \times 60 - 34 - 12

Use the commutative property to reorder the terms

60 h^{2} - 34 - 12

Solution

60 h^{2} - 46

Show Solution

2 (30 h^{2} - 23)

Evaluate

h^{2} \times 60 - 34 - 12

Use the commutative property to reorder the terms

60 h^{2} - 34 - 12

Subtract the numbers

60 h^{2} - 46

Solution

2 (30 h^{2} - 23)

Show Solution

h_{1} = - \frac{690}{30}, h_{2} = \frac{690}{30}

Alternative Form

h_{1} \approx - 0.875595, h_{2} \approx 0.875595

Evaluate

h^{2} \times 60 - 34 - 12

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

h^{2} \times 60 - 34 - 12 = 0

Use the commutative property to reorder the terms

60 h^{2} - 34 - 12 = 0

Subtract the numbers

60 h^{2} - 46 = 0

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

60 h^{2} = 0 + 46

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

60 h^{2} = 46

Divide both sides

\frac{60 h ^{2}}{60} = \frac{46}{60}

Divide the numbers

h^{2} = \frac{46}{60}

Cancel out the common factor 2

h^{2} = \frac{23}{30}

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

h = \pm \frac{23}{30}

Simplify the expression

More Steps

Evaluate

\frac{23}{30}

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

\frac{23}{30}

Multiply by the Conjugate

\frac{23 \times 30}{30 \times 30}

Multiply the numbers

More Steps

Evaluate

23 \times 30

The product of roots with the same index is equal to the root of the product

23 \times 30

Calculate the product

690

\frac{690}{30 \times 30}

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

\frac{690}{30}

h = \pm \frac{690}{30}

Separate the equation into 2 possible cases

h = \frac{690}{30} h = - \frac{690}{30}

Solution

h_{1} = - \frac{690}{30}, h_{2} = \frac{690}{30}

Alternative Form

h_{1} \approx - 0.875595, h_{2} \approx 0.875595

Show Solution