Solve V^4550202-100

Question

Simplify the expression

550202 V^{4} - 100

Evaluate

V^{4} \times 550202 - 100

Solution

550202 V^{4} - 100

Show Solution

2 (275101 V^{4} - 50)

Evaluate

V^{4} \times 550202 - 100

Use the commutative property to reorder the terms

550202 V^{4} - 100

Solution

2 (275101 V^{4} - 50)

Show Solution

V_{1} = - \frac{4 50 \times 27510 1 ^{3}}{275101}, V_{2} = \frac{4 50 \times 27510 1 ^{3}}{275101}

Alternative Form

V_{1} \approx - 0.11611, V_{2} \approx 0.11611

Evaluate

V^{4} \times 550202 - 100

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

V^{4} \times 550202 - 100 = 0

Use the commutative property to reorder the terms

550202 V^{4} - 100 = 0

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

550202 V^{4} = 0 + 100

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

550202 V^{4} = 100

Divide both sides

\frac{550202 V ^{4}}{550202} = \frac{100}{550202}

Divide the numbers

V^{4} = \frac{100}{550202}

Cancel out the common factor 2

V^{4} = \frac{50}{275101}

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

V = \pm 4 \frac{50}{275101}

Simplify the expression

More Steps

Evaluate

4 \frac{50}{275101}

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

\frac{4 50}{4 275101}

Multiply by the Conjugate

\frac{4 50 \times 4 27510 1 ^{3}}{4 275101 \times 4 27510 1 ^{3}}

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

\frac{4 50 \times 27510 1 ^{3}}{4 275101 \times 4 27510 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

4275101 \times 4 27510 1^{3}

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

4 275101 \times 27510 1^{3}

Calculate the product

4 27510 1^{4}

Reduce the index of the radical and exponent with 4

275101

\frac{4 50 \times 27510 1 ^{3}}{275101}

V = \pm \frac{4 50 \times 27510 1 ^{3}}{275101}

Separate the equation into 2 possible cases

V = \frac{4 50 \times 27510 1 ^{3}}{275101} V = - \frac{4 50 \times 27510 1 ^{3}}{275101}

Solution

V_{1} = - \frac{4 50 \times 27510 1 ^{3}}{275101}, V_{2} = \frac{4 50 \times 27510 1 ^{3}}{275101}

Alternative Form

V_{1} \approx - 0.11611, V_{2} \approx 0.11611

Show Solution