Solve 50384-14 r^46

Question

Simplify the expression

50384 - 84 r^{4}

Evaluate

50384 - 14 r^{4} \times 6

Solution

50384 - 84 r^{4}

Show Solution

4 (12596 - 21 r^{4})

Evaluate

50384 - 14 r^{4} \times 6

Multiply the terms

50384 - 84 r^{4}

Solution

4 (12596 - 21 r^{4})

Show Solution

r_{1} = - \frac{4 116651556}{21}, r_{2} = \frac{4 116651556}{21}

Alternative Form

r_{1} \approx - 4.948839, r_{2} \approx 4.948839

Evaluate

50384 - 14 r^{4} \times 6

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

50384 - 14 r^{4} \times 6 = 0

Multiply the terms

50384 - 84 r^{4} = 0

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

- 84 r^{4} = 0 - 50384

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

- 84 r^{4} = - 50384

Change the signs on both sides of the equation

84 r^{4} = 50384

Divide both sides

\frac{84 r ^{4}}{84} = \frac{50384}{84}

Divide the numbers

r^{4} = \frac{50384}{84}

Cancel out the common factor 4

r^{4} = \frac{12596}{21}

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

r = \pm 4 \frac{12596}{21}

Simplify the expression

More Steps

Evaluate

4 \frac{12596}{21}

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

\frac{4 12596}{4 21}

Multiply by the Conjugate

\frac{4 12596 \times 4 2 1 ^{3}}{4 21 \times 4 2 1 ^{3}}

Simplify

\frac{4 12596 \times 4 9261}{4 21 \times 4 2 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

412596 \times 49261

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

4 12596 \times 9261

Calculate the product

4116651556

\frac{4 116651556}{4 21 \times 4 2 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

421 \times 4 2 1^{3}

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

4 21 \times 2 1^{3}

Calculate the product

4 2 1^{4}

Reduce the index of the radical and exponent with 4

21

\frac{4 116651556}{21}

r = \pm \frac{4 116651556}{21}

Separate the equation into 2 possible cases

r = \frac{4 116651556}{21} r = - \frac{4 116651556}{21}

Solution

r_{1} = - \frac{4 116651556}{21}, r_{2} = \frac{4 116651556}{21}

Alternative Form

r_{1} \approx - 4.948839, r_{2} \approx 4.948839

Show Solution