Solve X^44-33366 - ScanMath

Question

Simplify the expression

4 X^{4} - 33366

Evaluate

X^{4} \times 4 - 33366

Solution

4 X^{4} - 33366

Show Solution

2 (2 X^{4} - 16683)

Evaluate

X^{4} \times 4 - 33366

Use the commutative property to reorder the terms

4 X^{4} - 33366

Solution

2 (2 X^{4} - 16683)

Show Solution

X_{1} = - \frac{4 133464}{2}, X_{2} = \frac{4 133464}{2}

Alternative Form

X_{1} \approx - 9.556768, X_{2} \approx 9.556768

Evaluate

X^{4} \times 4 - 33366

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

X^{4} \times 4 - 33366 = 0

Use the commutative property to reorder the terms

4 X^{4} - 33366 = 0

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

4 X^{4} = 0 + 33366

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

4 X^{4} = 33366

Divide both sides

\frac{4 X ^{4}}{4} = \frac{33366}{4}

Divide the numbers

X^{4} = \frac{33366}{4}

Cancel out the common factor 2

X^{4} = \frac{16683}{2}

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

X = \pm 4 \frac{16683}{2}

Simplify the expression

More Steps

Evaluate

4 \frac{16683}{2}

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

\frac{4 16683}{4 2}

Multiply by the Conjugate

\frac{4 16683 \times 4 2 ^{3}}{4 2 \times 4 2 ^{3}}

Simplify

\frac{4 16683 \times 4 8}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

416683 \times 48

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

4 16683 \times 8

Calculate the product

4133464

\frac{4 133464}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

42 \times 4 2^{3}

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

4 2 \times 2^{3}

Calculate the product

4 2^{4}

Reduce the index of the radical and exponent with 4

2

\frac{4 133464}{2}

X = \pm \frac{4 133464}{2}

Separate the equation into 2 possible cases

X = \frac{4 133464}{2} X = - \frac{4 133464}{2}

Solution

X_{1} = - \frac{4 133464}{2}, X_{2} = \frac{4 133464}{2}

Alternative Form

X_{1} \approx - 9.556768, X_{2} \approx 9.556768

Show Solution