Solve v^4962-16 - ScanMath

Question

Simplify the expression

962 v^{4} - 16

Evaluate

v^{4} \times 962 - 16

Solution

962 v^{4} - 16

Show Solution

2 (481 v^{4} - 8)

Evaluate

v^{4} \times 962 - 16

Use the commutative property to reorder the terms

962 v^{4} - 16

Solution

2 (481 v^{4} - 8)

Show Solution

v_{1} = - \frac{4 96 2 ^{3}}{481}, v_{2} = \frac{4 96 2 ^{3}}{481}

Alternative Form

v_{1} \approx - 0.359117, v_{2} \approx 0.359117

Evaluate

v^{4} \times 962 - 16

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

v^{4} \times 962 - 16 = 0

Use the commutative property to reorder the terms

962 v^{4} - 16 = 0

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

962 v^{4} = 0 + 16

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

962 v^{4} = 16

Divide both sides

\frac{962 v ^{4}}{962} = \frac{16}{962}

Divide the numbers

v^{4} = \frac{16}{962}

Cancel out the common factor 2

v^{4} = \frac{8}{481}

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

v = \pm 4 \frac{8}{481}

Simplify the expression

More Steps

Evaluate

4 \frac{8}{481}

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

\frac{4 8}{4 481}

Multiply by the Conjugate

\frac{4 8 \times 4 48 1 ^{3}}{4 481 \times 4 48 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

48 \times 4 48 1^{3}

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

4 8 \times 48 1^{3}

Calculate the product

4 96 2^{3}

\frac{4 96 2 ^{3}}{4 481 \times 4 48 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

4481 \times 4 48 1^{3}

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

4 481 \times 48 1^{3}

Calculate the product

4 48 1^{4}

Reduce the index of the radical and exponent with 4

481

\frac{4 96 2 ^{3}}{481}

v = \pm \frac{4 96 2 ^{3}}{481}

Separate the equation into 2 possible cases

v = \frac{4 96 2 ^{3}}{481} v = - \frac{4 96 2 ^{3}}{481}

Solution

v_{1} = - \frac{4 96 2 ^{3}}{481}, v_{2} = \frac{4 96 2 ^{3}}{481}

Alternative Form

v_{1} \approx - 0.359117, v_{2} \approx 0.359117

Show Solution