What are the solutions to the equation 4x^{12}=6 ?

The solutions to the equation 4x^{12}=6 are

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4x^{12}=6

4 x^{12} = 6

Solution steps

4 x^{12} = 6

Divide both sides by

4

x^{12} = \frac{3}{2}

Rewrite the equation with

u = x^{2}

and

u^{6} = x^{12}

u^{6} = \frac{3}{2}

Solve

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{3 ^{\frac{5}{6}}}{2 ^{\frac{7}{3}} \cdot 0.92657 \dots} + 0.92657 \dots i : x = 0.89578 \dots + \frac{1.14471 \dots - 0.53495 \dots}{2} i, x = - 0.89578 \dots - \frac{1.14471 \dots - 0.53495 \dots}{2} i

Solve

x^{2} = - \frac{3 ^{\frac{5}{6}}}{2 ^{\frac{7}{3}} \cdot 0.92657 \dots} - 0.92657 \dots i : x = - 0.51718 \dots + \frac{0.53495 \dots + 1.14471 \dots}{2} i, x = 0.51718 \dots - \frac{0.53495 \dots + 1.14471 \dots}{2} i

Solve

x^{2} = - \frac{3 ^{\frac{5}{6}}}{2 ^{\frac{7}{3}} \cdot 0.92657 \dots} + 0.92657 \dots i : x = 0.51718 \dots + \frac{0.53495 \dots + 1.14471 \dots}{2} i, x = - 0.51718 \dots - \frac{0.53495 \dots + 1.14471 \dots}{2} i

Solve

x^{2} = \frac{3 ^{\frac{5}{6}}}{2 ^{\frac{7}{3}} \cdot 0.92657 \dots} - 0.92657 \dots i : x = - 0.89578 \dots + \frac{1.14471 \dots - 0.53495 \dots}{2} i, x = 0.89578 \dots - \frac{1.14471 \dots - 0.53495 \dots}{2} i

The solutions are

(x - 9) (x^{2} - 36) = 0

2 x^{3} - 6 x^{2} - 6 x + 18 = 0

9 x^{4} - 18 x^{2} + 5 = 0

m^{3} - 27 = (m - 3)

24 x^{3} - 24 x^{2} = 0

What are the solutions to the equation 4x^{12}=6 ?
The solutions to the equation 4x^{12}=6 are
Find the zeros of 4x^{12}=6
The zeros of 4x^{12}=6 are