Solve l^45110-1 - ScanMath

Question

Simplify the expression

5110 l^{4} - 1

Evaluate

l^{4} \times 5110 - 1

Solution

5110 l^{4} - 1

Show Solution

l_{1} = - \frac{4 511 0 ^{3}}{5110}, l_{2} = \frac{4 511 0 ^{3}}{5110}

Alternative Form

l_{1} \approx - 0.118275, l_{2} \approx 0.118275

Evaluate

l^{4} \times 5110 - 1

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

l^{4} \times 5110 - 1 = 0

Use the commutative property to reorder the terms

5110 l^{4} - 1 = 0

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

5110 l^{4} = 0 + 1

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

5110 l^{4} = 1

Divide both sides

\frac{5110 l ^{4}}{5110} = \frac{1}{5110}

Divide the numbers

l^{4} = \frac{1}{5110}

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

l = \pm 4 \frac{1}{5110}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{5110}

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

\frac{4 1}{4 5110}

Simplify the radical expression

\frac{1}{4 5110}

Multiply by the Conjugate

\frac{4 511 0 ^{3}}{4 5110 \times 4 511 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

45110 \times 4 511 0^{3}

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

4 5110 \times 511 0^{3}

Calculate the product

4 511 0^{4}

Reduce the index of the radical and exponent with 4

5110

\frac{4 511 0 ^{3}}{5110}

l = \pm \frac{4 511 0 ^{3}}{5110}

Separate the equation into 2 possible cases

l = \frac{4 511 0 ^{3}}{5110} l = - \frac{4 511 0 ^{3}}{5110}

Solution

l_{1} = - \frac{4 511 0 ^{3}}{5110}, l_{2} = \frac{4 511 0 ^{3}}{5110}

Alternative Form

l_{1} \approx - 0.118275, l_{2} \approx 0.118275

Show Solution