(-pi^2cos(pi/4x))/16=0

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Solution for (-pi^2cos(pi/4x))/16=0 equation:


x in (-oo:+oo)

((-pi)^2*cos((pi/4)*x))/16 = 0

((-pi)^2*cos((pi/4)*x))/16 = 0 // * 16

(-pi)^2*cos((pi/4)*x) = 0

(-pi)^2 = 0

pi^2 = 0

x belongs to the empty set

cos((pi/4)*x) = 0

cos((pi/4)*x) = 0 <=> (pi/4)*x = pi*k_1+pi/2 i k_1 należy do I

t_1 = pi*k_1+pi/2

(pi/4)*x-t_1 = 0

(pi/4)*x-t_1 = 0 // + t_1

(pi/4)*x = t_1 // : pi/4

x = t_1/(pi/4)

x = pi*k_1+pi/2/(pi/4) i k_1 należy do I

(-pi)^2*cos((pi/4)*x) = 0 <=> (-pi)^2 = 0 or (-pi)^2*cos((pi/4)*x) = 0 <=> cos((pi/4)*x) = 0

x = pi*k_1+pi/2/(pi/4)

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