To solve the equations:
Factor out a y from the equationy(y^3 - y^2 - 16y + 16) = 0
Factorize the remaining expression in the bracketsy(y^2(y-1) -16(y-1)) = y(y-1)(y^2-16) = 0
Setting each factor to zeroy = 0, 1, -4, 4
Therefore, the solutions are y = 0, 1, -4, 4
This equation is not easily factorizable, so let's solve it using numerical methods like Newton's method or any root-finding algorithm.
To solve the equations:
Y^4 - y^3 - 16y^2 + 16y = 0Factor out a y from the equation
y(y^3 - y^2 - 16y + 16) = 0
Factorize the remaining expression in the brackets
y(y^2(y-1) -16(y-1)) =
y(y-1)(y^2-16) = 0
Setting each factor to zero
y = 0, 1, -4, 4
Therefore, the solutions are y = 0, 1, -4, 4
9x^3 - 18x^2 - x + 2 = 0This equation is not easily factorizable, so let's solve it using numerical methods like Newton's method or any root-finding algorithm.