Solve 3558a-a^653

Question

Simplify the expression

3558 a - 53 a^{6}

Evaluate

3558 a - a^{6} \times 53

Solution

3558 a - 53 a^{6}

Show Solution

a (3558 - 53 a^{5})

Evaluate

3558 a - a^{6} \times 53

Use the commutative property to reorder the terms

3558 a - 53 a^{6}

Rewrite the expression

a \times 3558 - a \times 53 a^{5}

Solution

a (3558 - 53 a^{5})

Show Solution

a_{1} = 0, a_{2} = \frac{5 3558 \times 5 3 ^{4}}{53}

Alternative Form

a_{1} = 0, a_{2} \approx 2.319455

Evaluate

3558 a - a^{6} \times 53

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

3558 a - a^{6} \times 53 = 0

Use the commutative property to reorder the terms

3558 a - 53 a^{6} = 0

Factor the expression

a (3558 - 53 a^{5}) = 0

Separate the equation into 2 possible cases

a = 0 3558 - 53 a^{5} = 0

Solve the equation

More Steps

Evaluate

3558 - 53 a^{5} = 0

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

- 53 a^{5} = 0 - 3558

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

- 53 a^{5} = - 3558

Change the signs on both sides of the equation

53 a^{5} = 3558

Divide both sides

\frac{53 a ^{5}}{53} = \frac{3558}{53}

Divide the numbers

a^{5} = \frac{3558}{53}

Take the 5 -th root on both sides of the equation

5 a^{5} = 5 \frac{3558}{53}

Calculate

a = 5 \frac{3558}{53}

Simplify the root

More Steps

Evaluate

5 \frac{3558}{53}

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

\frac{5 3558}{5 53}

Multiply by the Conjugate

\frac{5 3558 \times 5 5 3 ^{4}}{5 53 \times 5 5 3 ^{4}}

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

\frac{5 3558 \times 5 3 ^{4}}{5 53 \times 5 5 3 ^{4}}

Multiply the numbers

\frac{5 3558 \times 5 3 ^{4}}{53}

a = \frac{5 3558 \times 5 3 ^{4}}{53}

a = 0 a = \frac{5 3558 \times 5 3 ^{4}}{53}

Solution

a_{1} = 0, a_{2} = \frac{5 3558 \times 5 3 ^{4}}{53}

Alternative Form

a_{1} = 0, a_{2} \approx 2.319455

Show Solution