Solve g^2421-60001

Question

Simplify the expression

421 g^{2} - 60001

Evaluate

g^{2} \times 421 - 60001

Solution

421 g^{2} - 60001

Show Solution

g_{1} = - \frac{25260421}{421}, g_{2} = \frac{25260421}{421}

Alternative Form

g_{1} \approx - 11.938182, g_{2} \approx 11.938182

Evaluate

g^{2} \times 421 - 60001

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

g^{2} \times 421 - 60001 = 0

Use the commutative property to reorder the terms

421 g^{2} - 60001 = 0

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

421 g^{2} = 0 + 60001

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

421 g^{2} = 60001

Divide both sides

\frac{421 g ^{2}}{421} = \frac{60001}{421}

Divide the numbers

g^{2} = \frac{60001}{421}

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

g = \pm \frac{60001}{421}

Simplify the expression

More Steps

Evaluate

\frac{60001}{421}

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

\frac{60001}{421}

Multiply by the Conjugate

\frac{60001 \times 421}{421 \times 421}

Multiply the numbers

More Steps

Evaluate

60001 \times 421

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

60001 \times 421

Calculate the product

25260421

\frac{25260421}{421 \times 421}

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

\frac{25260421}{421}

g = \pm \frac{25260421}{421}

Separate the equation into 2 possible cases

g = \frac{25260421}{421} g = - \frac{25260421}{421}

Solution

g_{1} = - \frac{25260421}{421}, g_{2} = \frac{25260421}{421}

Alternative Form

g_{1} \approx - 11.938182, g_{2} \approx 11.938182

Show Solution