Solve l^4624-4 - ScanMath

Question

Simplify the expression

624 l^{4} - 4

Evaluate

l^{4} \times 624 - 4

Solution

624 l^{4} - 4

Show Solution

4 (156 l^{4} - 1)

Evaluate

l^{4} \times 624 - 4

Use the commutative property to reorder the terms

624 l^{4} - 4

Solution

4 (156 l^{4} - 1)

Show Solution

l_{1} = - \frac{4 15 6 ^{3}}{156}, l_{2} = \frac{4 15 6 ^{3}}{156}

Alternative Form

l_{1} \approx - 0.282956, l_{2} \approx 0.282956

Evaluate

l^{4} \times 624 - 4

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

l^{4} \times 624 - 4 = 0

Use the commutative property to reorder the terms

624 l^{4} - 4 = 0

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

624 l^{4} = 0 + 4

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

624 l^{4} = 4

Divide both sides

\frac{624 l ^{4}}{624} = \frac{4}{624}

Divide the numbers

l^{4} = \frac{4}{624}

Cancel out the common factor 4

l^{4} = \frac{1}{156}

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

l = \pm 4 \frac{1}{156}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{156}

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

\frac{4 1}{4 156}

Simplify the radical expression

\frac{1}{4 156}

Multiply by the Conjugate

\frac{4 15 6 ^{3}}{4 156 \times 4 15 6 ^{3}}

Multiply the numbers

More Steps

Evaluate

4156 \times 4 15 6^{3}

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

4 156 \times 15 6^{3}

Calculate the product

4 15 6^{4}

Reduce the index of the radical and exponent with 4

156

\frac{4 15 6 ^{3}}{156}

l = \pm \frac{4 15 6 ^{3}}{156}

Separate the equation into 2 possible cases

l = \frac{4 15 6 ^{3}}{156} l = - \frac{4 15 6 ^{3}}{156}

Solution

l_{1} = - \frac{4 15 6 ^{3}}{156}, l_{2} = \frac{4 15 6 ^{3}}{156}

Alternative Form

l_{1} \approx - 0.282956, l_{2} \approx 0.282956

Show Solution