Solve 1v^4204-190

Question

Simplify the expression

204 v^{4} - 190

Evaluate

1 \times v^{4} \times 204 - 190

Solution

More Steps

Evaluate

1 \times v^{4} \times 204

Rewrite the expression

v^{4} \times 204

Use the commutative property to reorder the terms

204 v^{4}

204 v^{4} - 190

Show Solution

2 (102 v^{4} - 95)

Evaluate

1 \times v^{4} \times 204 - 190

Multiply the terms

More Steps

Evaluate

1 \times v^{4} \times 204

Rewrite the expression

v^{4} \times 204

Use the commutative property to reorder the terms

204 v^{4}

204 v^{4} - 190

Solution

2 (102 v^{4} - 95)

Show Solution

v_{1} = - \frac{4 95 \times 10 2 ^{3}}{102}, v_{2} = \frac{4 95 \times 10 2 ^{3}}{102}

Alternative Form

v_{1} \approx - 0.982383, v_{2} \approx 0.982383

Evaluate

1 \times v^{4} \times 204 - 190

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

1 \times v^{4} \times 204 - 190 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times v^{4} \times 204

Rewrite the expression

v^{4} \times 204

Use the commutative property to reorder the terms

204 v^{4}

204 v^{4} - 190 = 0

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

204 v^{4} = 0 + 190

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

204 v^{4} = 190

Divide both sides

\frac{204 v ^{4}}{204} = \frac{190}{204}

Divide the numbers

v^{4} = \frac{190}{204}

Cancel out the common factor 2

v^{4} = \frac{95}{102}

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

v = \pm 4 \frac{95}{102}

Simplify the expression

More Steps

Evaluate

4 \frac{95}{102}

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

\frac{4 95}{4 102}

Multiply by the Conjugate

\frac{4 95 \times 4 10 2 ^{3}}{4 102 \times 4 10 2 ^{3}}

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

\frac{4 95 \times 10 2 ^{3}}{4 102 \times 4 10 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

4102 \times 4 10 2^{3}

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

4 102 \times 10 2^{3}

Calculate the product

4 10 2^{4}

Reduce the index of the radical and exponent with 4

102

\frac{4 95 \times 10 2 ^{3}}{102}

v = \pm \frac{4 95 \times 10 2 ^{3}}{102}

Separate the equation into 2 possible cases

v = \frac{4 95 \times 10 2 ^{3}}{102} v = - \frac{4 95 \times 10 2 ^{3}}{102}

Solution

v_{1} = - \frac{4 95 \times 10 2 ^{3}}{102}, v_{2} = \frac{4 95 \times 10 2 ^{3}}{102}

Alternative Form

v_{1} \approx - 0.982383, v_{2} \approx 0.982383

Show Solution