Youif x to the power 4 -500=0, then sum of roots of equation is ?
Question
Youif x to the power 4 -500=0, then sum of roots of equation is ?
Solution
To find the sum of the roots of the equation x^4 - 500 = 0, we can use the fact that the sum of the roots of a polynomial equation is equal to the opposite of the coefficient of the x^(n-1) term divided by the coefficient of the x^n term.
In this case, the equation is x^4 - 500 = 0, so the coefficient of the x^4 term is 1 and the coefficient of the x^3 term is 0. Therefore, the sum of the roots is equal to 0 divided by 1, which is 0.
So, the sum of the roots of the equation x^4 - 500 = 0 is 0.
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