Solve l^4614-9 - ScanMath

Question

Simplify the expression

614 l^{4} - 9

Evaluate

l^{4} \times 614 - 9

Solution

614 l^{4} - 9

Show Solution

l_{1} = - \frac{4 9 \times 61 4 ^{3}}{614}, l_{2} = \frac{4 9 \times 61 4 ^{3}}{614}

Alternative Form

l_{1} \approx - 0.347951, l_{2} \approx 0.347951

Evaluate

l^{4} \times 614 - 9

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

l^{4} \times 614 - 9 = 0

Use the commutative property to reorder the terms

614 l^{4} - 9 = 0

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

614 l^{4} = 0 + 9

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

614 l^{4} = 9

Divide both sides

\frac{614 l ^{4}}{614} = \frac{9}{614}

Divide the numbers

l^{4} = \frac{9}{614}

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

l = \pm 4 \frac{9}{614}

Simplify the expression

More Steps

Evaluate

4 \frac{9}{614}

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

\frac{4 9}{4 614}

Simplify the radical expression

More Steps

Evaluate

49

Write the number in exponential form with the base of 3

4 3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{3}{4 614}

Multiply by the Conjugate

\frac{3 \times 4 61 4 ^{3}}{4 614 \times 4 61 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

3 \times 4 61 4^{3}

Use n a = mn a^{m} to expand the expression

4 3^{2} \times 4 61 4^{3}

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

4 3^{2} \times 61 4^{3}

Calculate the product

4 9 \times 61 4^{3}

\frac{4 9 \times 61 4 ^{3}}{4 614 \times 4 61 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

4614 \times 4 61 4^{3}

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

4 614 \times 61 4^{3}

Calculate the product

4 61 4^{4}

Reduce the index of the radical and exponent with 4

614

\frac{4 9 \times 61 4 ^{3}}{614}

l = \pm \frac{4 9 \times 61 4 ^{3}}{614}

Separate the equation into 2 possible cases

l = \frac{4 9 \times 61 4 ^{3}}{614} l = - \frac{4 9 \times 61 4 ^{3}}{614}

Solution

l_{1} = - \frac{4 9 \times 61 4 ^{3}}{614}, l_{2} = \frac{4 9 \times 61 4 ^{3}}{614}

Alternative Form

l_{1} \approx - 0.347951, l_{2} \approx 0.347951

Show Solution