Solve c^61000-4-6:2017

Question

Simplify the expression

1000 c^{6} - \frac{8074}{2017}

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\frac{2}{2017} (1008500 c^{6} - 4037)

Show Solution

c_{1} = - \frac{6 4037 \times 100850 0 ^{5}}{1008500}, c_{2} = \frac{6 4037 \times 100850 0 ^{5}}{1008500}

Alternative Form

c_{1} \approx - 0.398471, c_{2} \approx 0.398471

Evaluate

c^{6} \times 1000 - 4 - 6 \div 2017

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

c^{6} \times 1000 - 4 - 6 \div 2017 = 0

Use the commutative property to reorder the terms

1000 c^{6} - 4 - 6 \div 2017 = 0

Rewrite the expression

1000 c^{6} - 4 - \frac{6}{2017} = 0

Subtract the numbers

More Steps

1000 c^{6} - \frac{8074}{2017} = 0

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

1000 c^{6} = 0 + \frac{8074}{2017}

Add the terms

1000 c^{6} = \frac{8074}{2017}

Multiply by the reciprocal

1000 c^{6} \times \frac{1}{1000} = \frac{8074}{2017} \times \frac{1}{1000}

Multiply

c^{6} = \frac{8074}{2017} \times \frac{1}{1000}

Multiply

More Steps

c^{6} = \frac{4037}{1008500}

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

c = \pm 6 \frac{4037}{1008500}

Simplify the expression

More Steps

c = \pm \frac{6 4037 \times 100850 0 ^{5}}{1008500}

Separate the equation into 2 possible cases

c = \frac{6 4037 \times 100850 0 ^{5}}{1008500} c = - \frac{6 4037 \times 100850 0 ^{5}}{1008500}

Solution

c_{1} = - \frac{6 4037 \times 100850 0 ^{5}}{1008500}, c_{2} = \frac{6 4037 \times 100850 0 ^{5}}{1008500}

Alternative Form

c_{1} \approx - 0.398471, c_{2} \approx 0.398471

Show Solution