Solve V^2900-0-1-2-0

Question

Simplify the expression

Solution

900 V^{2} - 3

Evaluate

V^{2} \times 900 - 0 - 1 - 2 - 0

Use the commutative property to reorder the terms

900 V^{2} - 0 - 1 - 2 - 0

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

900 V^{2} - 1 - 2

Solution

900 V^{2} - 3

Show Solution

Factor the expression

Factor

3 (300 V^{2} - 1)

Evaluate

V^{2} \times 900 - 0 - 1 - 2 - 0

Use the commutative property to reorder the terms

900 V^{2} - 0 - 1 - 2 - 0

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

900 V^{2} - 1 - 2 - 0

Subtract the numbers

900 V^{2} - 3 - 0

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

900 V^{2} - 3

Solution

3 (300 V^{2} - 1)

Show Solution

Find the roots

Find the roots of the algebra expression

V_{1} = - \frac{3}{30}, V_{2} = \frac{3}{30}

Alternative Form

V_{1} \approx - 0.057735, V_{2} \approx 0.057735

Evaluate

V^{2} \times 900 - 0 - 1 - 2 - 0

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

V^{2} \times 900 - 0 - 1 - 2 - 0 = 0

Use the commutative property to reorder the terms

900 V^{2} - 0 - 1 - 2 - 0 = 0

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

900 V^{2} - 1 - 2 - 0 = 0

Subtract the numbers

900 V^{2} - 3 - 0 = 0

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

900 V^{2} - 3 = 0

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

900 V^{2} = 0 + 3

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

900 V^{2} = 3

Divide both sides

\frac{900 V ^{2}}{900} = \frac{3}{900}

Divide the numbers

V^{2} = \frac{3}{900}

Cancel out the common factor 3

V^{2} = \frac{1}{300}

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

V = \pm \frac{1}{300}

Simplify the expression

More Steps

Evaluate

\frac{1}{300}

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

\frac{1}{300}

Simplify the radical expression

\frac{1}{300}

Simplify the radical expression

More Steps

Evaluate

300

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

100 \times 3

Write the number in exponential form with the base of 10

1 0^{2} \times 3

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

1 0^{2} \times 3

Reduce the index of the radical and exponent with 2

103

\frac{1}{10 3}

Multiply by the Conjugate

\frac{3}{10 3 \times 3}

Multiply the numbers

More Steps

Evaluate

103 \times 3

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

10 \times 3

Multiply the terms

30

\frac{3}{30}

V = \pm \frac{3}{30}

Separate the equation into 2 possible cases

V = \frac{3}{30} V = - \frac{3}{30}

Solution

V_{1} = - \frac{3}{30}, V_{2} = \frac{3}{30}

Alternative Form

V_{1} \approx - 0.057735, V_{2} \approx 0.057735

Show Solution

V^2900 0 1 2 0

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression