<span>(3 х-х^2)/2+(2 х^2-х)/6=х
9x-3x^2+2x^2-x=6x
2x-x^2=0
x(2-x)=0
x=0
x=2</span>
![(x-5)* \sqrt{8+2x-x^2} =0 ](https://tex.z-dn.net/?f=%28x-5%29%2A+%5Csqrt%7B8%2B2x-x%5E2%7D+%3D0+%0A)
если производное равно 0, то как минимум один из множителей равен 0
x-5=0
![\sqrt{8+2x-x^2}=0](https://tex.z-dn.net/?f=+%5Csqrt%7B8%2B2x-x%5E2%7D%3D0+)
x=5
x=4
x=-2
![(5-5)\sqrt{8+2*5-5^2}=0 \\ (4-5)\sqrt{8+2*4-4^2}=0 \\ (-2-5)\sqrt{8+2*(-2)-(-2)^2}=0 ](https://tex.z-dn.net/?f=%285-5%29%5Csqrt%7B8%2B2%2A5-5%5E2%7D%3D0+%5C%5C+%0A%284-5%29%5Csqrt%7B8%2B2%2A4-4%5E2%7D%3D0+%5C%5C+%0A%28-2-5%29%5Csqrt%7B8%2B2%2A%28-2%29-%28-2%29%5E2%7D%3D0%0A)
0√-7=0
0=0
0=0
x≠5
x=4
x=-2
ОТвет: x1=-2;x2=4
![\frac{6x^2 - 13x + 5}{6x^2 - 4x - 10}=\frac{(2x-1)(3x-5)}{2(x+1)(3x-5)} =\frac{2x-1}{2(x+1)}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%5E2+-+13x+%2B+5%7D%7B6x%5E2+-+4x+-+10%7D%3D%5Cfrac%7B%282x-1%29%283x-5%29%7D%7B2%28x%2B1%29%283x-5%29%7D+%3D%5Cfrac%7B2x-1%7D%7B2%28x%2B1%29%7D)
При x = -1 дробь не определена, потому что знаменатель равен 0.
Sin(arccos3/5)cos(arcsin8/17)+cos(arccos3/5)sin(arcsin8/17)=
sin(arcsin(√(1-(3/5)²)))cos(arccos(√(1-(8/17)²)))+3/5*8/17=
sin(arcsin4/5)cos(arccos15/17)+24/85=4/5*15/17+24/85=60/85+24/85=84/85