Solve l^411-1 - ScanMath

Question

Simplify the expression

11 l^{4} - 1

Evaluate

l^{4} \times 11 - 1

Solution

11 l^{4} - 1

Show Solution

l_{1} = - \frac{4 1331}{11}, l_{2} = \frac{4 1331}{11}

Alternative Form

l_{1} \approx - 0.5491, l_{2} \approx 0.5491

Evaluate

l^{4} \times 11 - 1

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

l^{4} \times 11 - 1 = 0

Use the commutative property to reorder the terms

11 l^{4} - 1 = 0

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

11 l^{4} = 0 + 1

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

11 l^{4} = 1

Divide both sides

\frac{11 l ^{4}}{11} = \frac{1}{11}

Divide the numbers

l^{4} = \frac{1}{11}

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

l = \pm 4 \frac{1}{11}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{11}

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

\frac{4 1}{4 11}

Simplify the radical expression

\frac{1}{4 11}

Multiply by the Conjugate

\frac{4 1 1 ^{3}}{4 11 \times 4 1 1 ^{3}}

Simplify

\frac{4 1331}{4 11 \times 4 1 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

411 \times 4 1 1^{3}

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

4 11 \times 1 1^{3}

Calculate the product

4 1 1^{4}

Reduce the index of the radical and exponent with 4

11

\frac{4 1331}{11}

l = \pm \frac{4 1331}{11}

Separate the equation into 2 possible cases

l = \frac{4 1331}{11} l = - \frac{4 1331}{11}

Solution

l_{1} = - \frac{4 1331}{11}, l_{2} = \frac{4 1331}{11}

Alternative Form

l_{1} \approx - 0.5491, l_{2} \approx 0.5491

Show Solution