x1²-x2²=24
x²-6x+c=0
D=36-4c √D=2√(9-c)
x1=(6+2√(9-c))/2 x2=(6-2√(9-c))/2
x1=3+√(9-c) x2=3-√(9-c)
(3+√(9-c))²-(3-√(9-c))² =24
(3+√(9-c)-3+√(9-c))*(3+√(9-c)+3-√(9-c))=24
2√(9-c) *6=24
12√(9-c)=24
√(9-c)=2
9-c=4
c=9-4
c=5
ответ: с=5
альфа = х
sinx \ cosx = корень из 5
sin^2 x \ cos^2 x = 5
sin^2 x\ 1-sin^2 x = 5
sin^2 х = 5 - 5sin^2 x
6sin^2 x = 5
sin^2 x = 5\6
12 * 5\ 6 = 10
-5х²+9х-4=-5(х-4/5)(х-1)=(4-5х)(х-1)
-5х²+9х-4=0
D=81-80=1
х₁=4/5 х₂=1