Solve l^4532-4 - ScanMath

Question

Simplify the expression

532 l^{4} - 4

Evaluate

l^{4} \times 532 - 4

Solution

532 l^{4} - 4

Show Solution

4 (133 l^{4} - 1)

Evaluate

l^{4} \times 532 - 4

Use the commutative property to reorder the terms

532 l^{4} - 4

Solution

4 (133 l^{4} - 1)

Show Solution

l_{1} = - \frac{4 13 3 ^{3}}{133}, l_{2} = \frac{4 13 3 ^{3}}{133}

Alternative Form

l_{1} \approx - 0.294467, l_{2} \approx 0.294467

Evaluate

l^{4} \times 532 - 4

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

l^{4} \times 532 - 4 = 0

Use the commutative property to reorder the terms

532 l^{4} - 4 = 0

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

532 l^{4} = 0 + 4

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

532 l^{4} = 4

Divide both sides

\frac{532 l ^{4}}{532} = \frac{4}{532}

Divide the numbers

l^{4} = \frac{4}{532}

Cancel out the common factor 4

l^{4} = \frac{1}{133}

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

l = \pm 4 \frac{1}{133}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{133}

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

\frac{4 1}{4 133}

Simplify the radical expression

\frac{1}{4 133}

Multiply by the Conjugate

\frac{4 13 3 ^{3}}{4 133 \times 4 13 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

4133 \times 4 13 3^{3}

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

4 133 \times 13 3^{3}

Calculate the product

4 13 3^{4}

Reduce the index of the radical and exponent with 4

133

\frac{4 13 3 ^{3}}{133}

l = \pm \frac{4 13 3 ^{3}}{133}

Separate the equation into 2 possible cases

l = \frac{4 13 3 ^{3}}{133} l = - \frac{4 13 3 ^{3}}{133}

Solution

l_{1} = - \frac{4 13 3 ^{3}}{133}, l_{2} = \frac{4 13 3 ^{3}}{133}

Alternative Form

l_{1} \approx - 0.294467, l_{2} \approx 0.294467

Show Solution