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How do you prove the quintic is not solvable? - Answers

You cannot prove it because it is not true. Some quintics ARE solvable. For example, if all the coefficients (in a quintic in x) sum to 0 then (x - 1) is a factor. So one solution is x = 1 and you are left qith a quartic. If the sum of odd coeffs equals the sum of even coeffs then (x + 1) is a factor. So, in some cases, at least, quintics are solvable.



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How do you prove the quintic is not solvable? - Answers

https://math.answers.com/math-and-arithmetic/How_do_you_prove_the_quintic_is_not_solvable

You cannot prove it because it is not true. Some quintics ARE solvable. For example, if all the coefficients (in a quintic in x) sum to 0 then (x - 1) is a factor. So one solution is x = 1 and you are left qith a quartic. If the sum of odd coeffs equals the sum of even coeffs then (x + 1) is a factor. So, in some cases, at least, quintics are solvable.



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https://math.answers.com/math-and-arithmetic/How_do_you_prove_the_quintic_is_not_solvable

How do you prove the quintic is not solvable? - Answers

You cannot prove it because it is not true. Some quintics ARE solvable. For example, if all the coefficients (in a quintic in x) sum to 0 then (x - 1) is a factor. So one solution is x = 1 and you are left qith a quartic. If the sum of odd coeffs equals the sum of even coeffs then (x + 1) is a factor. So, in some cases, at least, quintics are solvable.

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      You cannot prove it because it is not true. Some quintics ARE solvable. For example, if all the coefficients (in a quintic in x) sum to 0 then (x - 1) is a factor. So one solution is x = 1 and you are left qith a quartic. If the sum of odd coeffs equals the sum of even coeffs then (x + 1) is a factor. So, in some cases, at least, quintics are solvable.

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