Solve 81-(c^(2) 6c)^(2)

Question

Simplify the expression

81 - 36 c^{6}

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9 (3 - 2 c^{3}) (3 + 2 c^{3})

Show Solution

c_{1} = - \frac{3 12}{2}, c_{2} = \frac{3 12}{2}

Alternative Form

c_{1} \approx - 1.144714, c_{2} \approx 1.144714

Evaluate

81 - (c^{2} \times 6 c)^{2}

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

81 - (c^{2} \times 6 c)^{2} = 0

Multiply

More Steps

81 - (6 c^{3})^{2} = 0

Rewrite the expression

More Steps

81 - 36 c^{6} = 0

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

- 36 c^{6} = 0 - 81

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

- 36 c^{6} = - 81

Change the signs on both sides of the equation

36 c^{6} = 81

Divide both sides

\frac{36 c ^{6}}{36} = \frac{81}{36}

Divide the numbers

c^{6} = \frac{81}{36}

Cancel out the common factor 9

c^{6} = \frac{9}{4}

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

c = \pm 6 \frac{9}{4}

Simplify the expression

More Steps

c = \pm \frac{3 12}{2}

Separate the equation into 2 possible cases

c = \frac{3 12}{2} c = - \frac{3 12}{2}

Solution

c_{1} = - \frac{3 12}{2}, c_{2} = \frac{3 12}{2}

Alternative Form

c_{1} \approx - 1.144714, c_{2} \approx 1.144714

Show Solution