Solve 4662-7h^2 - ScanMath

Question

Factor the expression

7 (666 - h^{2})

Evaluate

4662 - 7 h^{2}

Solution

7 (666 - h^{2})

Show Solution

h_{1} = - 374, h_{2} = 374

Alternative Form

h_{1} \approx - 25.806976, h_{2} \approx 25.806976

Evaluate

4662 - 7 h^{2}

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

4662 - 7 h^{2} = 0

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

- 7 h^{2} = 0 - 4662

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

- 7 h^{2} = - 4662

Change the signs on both sides of the equation

7 h^{2} = 4662

Divide both sides

\frac{7 h ^{2}}{7} = \frac{4662}{7}

Divide the numbers

h^{2} = \frac{4662}{7}

Divide the numbers

More Steps

Evaluate

\frac{4662}{7}

Reduce the numbers

\frac{666}{1}

Calculate

666

h^{2} = 666

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

h = \pm 666

Simplify the expression

More Steps

Evaluate

666

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

9 \times 74

Write the number in exponential form with the base of 3

3^{2} \times 74

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

3^{2} \times 74

Reduce the index of the radical and exponent with 2

374

h = \pm 374

Separate the equation into 2 possible cases

h = 374 h = - 374

Solution

h_{1} = - 374, h_{2} = 374

Alternative Form

h_{1} \approx - 25.806976, h_{2} \approx 25.806976

Show Solution