Solve g^2630-61300

Question

Simplify the expression

630 g^{2} - 61300

Evaluate

g^{2} \times 630 - 61300

Solution

630 g^{2} - 61300

Show Solution

10 (63 g^{2} - 6130)

Evaluate

g^{2} \times 630 - 61300

Use the commutative property to reorder the terms

630 g^{2} - 61300

Solution

10 (63 g^{2} - 6130)

Show Solution

g_{1} = - \frac{42910}{21}, g_{2} = \frac{42910}{21}

Alternative Form

g_{1} \approx - 9.864157, g_{2} \approx 9.864157

Evaluate

g^{2} \times 630 - 61300

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

g^{2} \times 630 - 61300 = 0

Use the commutative property to reorder the terms

630 g^{2} - 61300 = 0

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

630 g^{2} = 0 + 61300

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

630 g^{2} = 61300

Divide both sides

\frac{630 g ^{2}}{630} = \frac{61300}{630}

Divide the numbers

g^{2} = \frac{61300}{630}

Cancel out the common factor 10

g^{2} = \frac{6130}{63}

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

g = \pm \frac{6130}{63}

Simplify the expression

More Steps

Evaluate

\frac{6130}{63}

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

\frac{6130}{63}

Simplify the radical expression

More Steps

Evaluate

63

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

9 \times 7

Write the number in exponential form with the base of 3

3^{2} \times 7

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

3^{2} \times 7

Reduce the index of the radical and exponent with 2

37

\frac{6130}{3 7}

Multiply by the Conjugate

\frac{6130 \times 7}{3 7 \times 7}

Multiply the numbers

More Steps

Evaluate

6130 \times 7

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

6130 \times 7

Calculate the product

42910

\frac{42910}{3 7 \times 7}

Multiply the numbers

More Steps

Evaluate

37 \times 7

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

3 \times 7

Multiply the terms

21

\frac{42910}{21}

g = \pm \frac{42910}{21}

Separate the equation into 2 possible cases

g = \frac{42910}{21} g = - \frac{42910}{21}

Solution

g_{1} = - \frac{42910}{21}, g_{2} = \frac{42910}{21}

Alternative Form

g_{1} \approx - 9.864157, g_{2} \approx 9.864157

Show Solution