Which describes the number and type of roots of the equation x (to the fourth) - 625 = 0
State the degree of 9 + 4x(squared) = 6x(cubed) + x(to the fourth) - 7x
State the degree of 9 + 4x(squared) = 6x(cubed) + x(to the fourth) - 7x
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x^4 - 625 = 0
(x^2 - 25)(x^2 + 25) = 0
(x - 5)(x + 5)(x - 5i)(x + 5i) = 0
two real and two imaginary roots
the degree is the highest exponent, or 4 in this case
if you bring everything to one side, it will be x^4 + 6x^3 - 4x^2 - 7x - 9 = 0
(x^2 - 25)(x^2 + 25) = 0
(x - 5)(x + 5)(x - 5i)(x + 5i) = 0
two real and two imaginary roots
the degree is the highest exponent, or 4 in this case
if you bring everything to one side, it will be x^4 + 6x^3 - 4x^2 - 7x - 9 = 0