Solve 69725-5g^26

Question

Simplify the expression

69725 - 30 g^{2}

Evaluate

69725 - 5 g^{2} \times 6

Solution

69725 - 30 g^{2}

Show Solution

5 (13945 - 6 g^{2})

Evaluate

69725 - 5 g^{2} \times 6

Multiply the terms

69725 - 30 g^{2}

Solution

5 (13945 - 6 g^{2})

Show Solution

g_{1} = - \frac{83670}{6}, g_{2} = \frac{83670}{6}

Alternative Form

g_{1} \approx - 48.209612, g_{2} \approx 48.209612

Evaluate

69725 - 5 g^{2} \times 6

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

69725 - 5 g^{2} \times 6 = 0

Multiply the terms

69725 - 30 g^{2} = 0

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

- 30 g^{2} = 0 - 69725

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

- 30 g^{2} = - 69725

Change the signs on both sides of the equation

30 g^{2} = 69725

Divide both sides

\frac{30 g ^{2}}{30} = \frac{69725}{30}

Divide the numbers

g^{2} = \frac{69725}{30}

Cancel out the common factor 5

g^{2} = \frac{13945}{6}

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

g = \pm \frac{13945}{6}

Simplify the expression

More Steps

Evaluate

\frac{13945}{6}

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

\frac{13945}{6}

Multiply by the Conjugate

\frac{13945 \times 6}{6 \times 6}

Multiply the numbers

More Steps

Evaluate

13945 \times 6

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

13945 \times 6

Calculate the product

83670

\frac{83670}{6 \times 6}

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

\frac{83670}{6}

g = \pm \frac{83670}{6}

Separate the equation into 2 possible cases

g = \frac{83670}{6} g = - \frac{83670}{6}

Solution

g_{1} = - \frac{83670}{6}, g_{2} = \frac{83670}{6}

Alternative Form

g_{1} \approx - 48.209612, g_{2} \approx 48.209612

Show Solution