What is the answer to (z^2-14z)^{4/5}=16 ?

The answer to (z^2-14z)^{4/5}=16 is z=16,z=-2,z=7+17^{1/2},z=7-17^{1/2}

Solve for z: (z^2-14z)^{4/5}=16

The solution is z=16,z=-2,z=7+17^{1/2},z=7-17^{1/2}

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(z^{2} - 14 z)^{\frac{4}{5}} = 16

z = 16, z = - 2, z = 7 + 1 7^{\frac{1}{2}}, z = 7 - 1 7^{\frac{1}{2}}

Decimal Notation

z = 16, z = - 2, z = 11.12310 \dots, z = 2.87689 \dots

Solution steps

(z^{2} - 14 z)^{\frac{4}{5}} = 16

Take both sides of the equation to the power of

5 : (z^{2} - 14 z)^{4} = 1048576

(z^{2} - 14 z)^{4} = 1048576

Solve

(z^{2} - 14 z)^{4} = 1048576 : z = 16, z = - 2, z = 7 + 1 7^{\frac{1}{2}}, z = 7 - 1 7^{\frac{1}{2}}

z = 16, z = - 2, z = 7 + 1 7^{\frac{1}{2}}, z = 7 - 1 7^{\frac{1}{2}}

Verify Solutions:

z = 16

True

, z = - 2

True

, z = 7 + 1 7^{\frac{1}{2}}

True

, z = 7 - 1 7^{\frac{1}{2}}

True

The solutions are

z = 16, z = - 2, z = 7 + 1 7^{\frac{1}{2}}, z = 7 - 1 7^{\frac{1}{2}}

6 t + 8 = 9 t + 3

(4 C)^{0.5} = 0.5 C

What is the answer to (z^2-14z)^{4/5}=16 ?
The answer to (z^2-14z)^{4/5}=16 is z=16,z=-2,z=7+17^{1/2},z=7-17^{1/2}
Solve for z: (z^2-14z)^{4/5}=16
The solution is z=16,z=-2,z=7+17^{1/2},z=7-17^{1/2}