Solve (x^2 x)^2 4x^2 4x - 12

Question

Simplify the expression

16 x^{9} - 12

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4 (4 x^{9} - 3)

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x = \frac{9 384}{2}

Alternative Form

x \approx 0.968541

Evaluate

(x^{2} \times x)^{2} \times 4 x^{2} \times 4 x - 12

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

(x^{2} \times x)^{2} \times 4 x^{2} \times 4 x - 12 = 0

Multiply the terms

More Steps

(x^{3})^{2} \times 4 x^{2} \times 4 x - 12 = 0

Evaluate the power

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x^{6} \times 4 x^{2} \times 4 x - 12 = 0

Multiply

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16 x^{9} - 12 = 0

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

16 x^{9} = 0 + 12

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

16 x^{9} = 12

Divide both sides

\frac{16 x ^{9}}{16} = \frac{12}{16}

Divide the numbers

x^{9} = \frac{12}{16}

Cancel out the common factor 4

x^{9} = \frac{3}{4}

Take the 9 -th root on both sides of the equation

9 x^{9} = 9 \frac{3}{4}

Calculate

x = 9 \frac{3}{4}

Solution

More Steps

x = \frac{9 384}{2}

Alternative Form

x \approx 0.968541

Show Solution