Solve g^2930-51-691

Question

Simplify the expression

930 g^{2} - 742

Evaluate

g^{2} \times 930 - 51 - 691

Use the commutative property to reorder the terms

930 g^{2} - 51 - 691

Solution

930 g^{2} - 742

Show Solution

2 (465 g^{2} - 371)

Evaluate

g^{2} \times 930 - 51 - 691

Use the commutative property to reorder the terms

930 g^{2} - 51 - 691

Subtract the numbers

930 g^{2} - 742

Solution

2 (465 g^{2} - 371)

Show Solution

g_{1} = - \frac{172515}{465}, g_{2} = \frac{172515}{465}

Alternative Form

g_{1} \approx - 0.893224, g_{2} \approx 0.893224

Evaluate

g^{2} \times 930 - 51 - 691

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

g^{2} \times 930 - 51 - 691 = 0

Use the commutative property to reorder the terms

930 g^{2} - 51 - 691 = 0

Subtract the numbers

930 g^{2} - 742 = 0

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

930 g^{2} = 0 + 742

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

930 g^{2} = 742

Divide both sides

\frac{930 g ^{2}}{930} = \frac{742}{930}

Divide the numbers

g^{2} = \frac{742}{930}

Cancel out the common factor 2

g^{2} = \frac{371}{465}

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

g = \pm \frac{371}{465}

Simplify the expression

More Steps

Evaluate

\frac{371}{465}

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

\frac{371}{465}

Multiply by the Conjugate

\frac{371 \times 465}{465 \times 465}

Multiply the numbers

More Steps

Evaluate

371 \times 465

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

371 \times 465

Calculate the product

172515

\frac{172515}{465 \times 465}

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

\frac{172515}{465}

g = \pm \frac{172515}{465}

Separate the equation into 2 possible cases

g = \frac{172515}{465} g = - \frac{172515}{465}

Solution

g_{1} = - \frac{172515}{465}, g_{2} = \frac{172515}{465}

Alternative Form

g_{1} \approx - 0.893224, g_{2} \approx 0.893224

Show Solution