Как я понял, нужно решить 6 и 7.
В обоих номерах замена arcsin (13x/2) = t
6. t^2 - t = pi^2 - pi^2/4 = 3pi^2/4
D = 1 + 4*3pi^2/4 = 3pi^2 + 1
t1 = arcsin (13x/2) = (1 - √(3pi^2+1))/2
13x/2 = sin ((1 - √(3pi^2+1))/2)
[b]x1 = 2/13*sin ((1 - √(3pi^2+1))/2)[/b]
t2 = arcsin (13x/2) = (1 + √(3pi^2+1))/2
13x/2 = sin ((1 + √(3pi^2+1))/2)
[b]x2 = 2/13*sin ((1 + √(3pi^2+1))/2)[/b]
7. t^2 - pi/3*t = 0
t(t - pi/3) = 0
t1 = arcsin (13x/2) = 0
13x/2 = sin 0 = 0
[b]x1 = 0[/b]
t2 = arcsin (13x/2) = pi/3
13x/2 = sin (pi/3) = √3/2
[b]x2 = √3/13[/b]
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Как я понял, нужно решить 6 и 7.
В обоих номерах замена arcsin (13x/2) = t
6. t^2 - t = pi^2 - pi^2/4 = 3pi^2/4
D = 1 + 4*3pi^2/4 = 3pi^2 + 1
t1 = arcsin (13x/2) = (1 - √(3pi^2+1))/2
13x/2 = sin ((1 - √(3pi^2+1))/2)
[b]x1 = 2/13*sin ((1 - √(3pi^2+1))/2)[/b]
t2 = arcsin (13x/2) = (1 + √(3pi^2+1))/2
13x/2 = sin ((1 + √(3pi^2+1))/2)
[b]x2 = 2/13*sin ((1 + √(3pi^2+1))/2)[/b]
7. t^2 - pi/3*t = 0
t(t - pi/3) = 0
t1 = arcsin (13x/2) = 0
13x/2 = sin 0 = 0
[b]x1 = 0[/b]
t2 = arcsin (13x/2) = pi/3
13x/2 = sin (pi/3) = √3/2
[b]x2 = √3/13[/b]