Solve 62100-36g^2

Question

Factor the expression

36 (1725 - g^{2})

Evaluate

62100 - 36 g^{2}

Solution

36 (1725 - g^{2})

Show Solution

g_{1} = - 569, g_{2} = 569

Alternative Form

g_{1} \approx - 41.533119, g_{2} \approx 41.533119

Evaluate

62100 - 36 g^{2}

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

62100 - 36 g^{2} = 0

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

- 36 g^{2} = 0 - 62100

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

- 36 g^{2} = - 62100

Change the signs on both sides of the equation

36 g^{2} = 62100

Divide both sides

\frac{36 g ^{2}}{36} = \frac{62100}{36}

Divide the numbers

g^{2} = \frac{62100}{36}

Divide the numbers

More Steps

Evaluate

\frac{62100}{36}

Reduce the numbers

\frac{1725}{1}

Calculate

1725

g^{2} = 1725

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

g = \pm 1725

Simplify the expression

More Steps

Evaluate

1725

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

25 \times 69

Write the number in exponential form with the base of 5

5^{2} \times 69

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

5^{2} \times 69

Reduce the index of the radical and exponent with 2

569

g = \pm 569

Separate the equation into 2 possible cases

g = 569 g = - 569

Solution

g_{1} = - 569, g_{2} = 569

Alternative Form

g_{1} \approx - 41.533119, g_{2} \approx 41.533119

Show Solution