Solve 124k^3k - 5

Question

Simplify the expression

124 k^{4} - 5

Evaluate

124 k^{3} \times k - 5

Solution

More Steps

Evaluate

124 k^{3} \times k

Multiply the terms with the same base by adding their exponents

124 k^{3 + 1}

Add the numbers

124 k^{4}

124 k^{4} - 5

Show Solution

k_{1} = - \frac{4 5 \times 12 4 ^{3}}{124}, k_{2} = \frac{4 5 \times 12 4 ^{3}}{124}

Alternative Form

k_{1} \approx - 0.448113, k_{2} \approx 0.448113

Evaluate

124 k^{3} \times k - 5

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

124 k^{3} \times k - 5 = 0

Multiply

More Steps

Multiply the terms

124 k^{3} \times k

Multiply the terms with the same base by adding their exponents

124 k^{3 + 1}

Add the numbers

124 k^{4}

124 k^{4} - 5 = 0

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

124 k^{4} = 0 + 5

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

124 k^{4} = 5

Divide both sides

\frac{124 k ^{4}}{124} = \frac{5}{124}

Divide the numbers

k^{4} = \frac{5}{124}

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

k = \pm 4 \frac{5}{124}

Simplify the expression

More Steps

Evaluate

4 \frac{5}{124}

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

\frac{4 5}{4 124}

Multiply by the Conjugate

\frac{4 5 \times 4 12 4 ^{3}}{4 124 \times 4 12 4 ^{3}}

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

\frac{4 5 \times 12 4 ^{3}}{4 124 \times 4 12 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

4124 \times 4 12 4^{3}

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

4 124 \times 12 4^{3}

Calculate the product

4 12 4^{4}

Reduce the index of the radical and exponent with 4

124

\frac{4 5 \times 12 4 ^{3}}{124}

k = \pm \frac{4 5 \times 12 4 ^{3}}{124}

Separate the equation into 2 possible cases

k = \frac{4 5 \times 12 4 ^{3}}{124} k = - \frac{4 5 \times 12 4 ^{3}}{124}

Solution

k_{1} = - \frac{4 5 \times 12 4 ^{3}}{124}, k_{2} = \frac{4 5 \times 12 4 ^{3}}{124}

Alternative Form

k_{1} \approx - 0.448113, k_{2} \approx 0.448113

Show Solution