Solve l^414-4 - ScanMath

Question

Simplify the expression

14 l^{4} - 4

Evaluate

l^{4} \times 14 - 4

Solution

14 l^{4} - 4

Show Solution

2 (7 l^{4} - 2)

Evaluate

l^{4} \times 14 - 4

Use the commutative property to reorder the terms

14 l^{4} - 4

Solution

2 (7 l^{4} - 2)

Show Solution

l_{1} = - \frac{4 686}{7}, l_{2} = \frac{4 686}{7}

Alternative Form

l_{1} \approx - 0.73111, l_{2} \approx 0.73111

Evaluate

l^{4} \times 14 - 4

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

l^{4} \times 14 - 4 = 0

Use the commutative property to reorder the terms

14 l^{4} - 4 = 0

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

14 l^{4} = 0 + 4

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

14 l^{4} = 4

Divide both sides

\frac{14 l ^{4}}{14} = \frac{4}{14}

Divide the numbers

l^{4} = \frac{4}{14}

Cancel out the common factor 2

l^{4} = \frac{2}{7}

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

l = \pm 4 \frac{2}{7}

Simplify the expression

More Steps

Evaluate

4 \frac{2}{7}

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

\frac{4 2}{4 7}

Multiply by the Conjugate

\frac{4 2 \times 4 7 ^{3}}{4 7 \times 4 7 ^{3}}

Simplify

\frac{4 2 \times 4 343}{4 7 \times 4 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

42 \times 4343

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

4 2 \times 343

Calculate the product

4686

\frac{4 686}{4 7 \times 4 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

47 \times 4 7^{3}

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

4 7 \times 7^{3}

Calculate the product

4 7^{4}

Reduce the index of the radical and exponent with 4

7

\frac{4 686}{7}

l = \pm \frac{4 686}{7}

Separate the equation into 2 possible cases

l = \frac{4 686}{7} l = - \frac{4 686}{7}

Solution

l_{1} = - \frac{4 686}{7}, l_{2} = \frac{4 686}{7}

Alternative Form

l_{1} \approx - 0.73111, l_{2} \approx 0.73111

Show Solution