A6-a4=2d 2d=6 d=3
a6²+a4²=50
(a1+5d)²+(a1+3d)²=50
a1²+10a1d+25d²+a1²+6a1d+9d²=
=2a1²+16a1*d+34d²=2a1²+48a1+306
a1=x
2x²+48x+306=50
x²+24x+128=0 D=24²-4*128=576-512=64 √D=8
x1=1/2[-24-8]=-16 x2=1/2[-24+8]=-8
s10=(2a1+9*3)*10/2=(2a1+27)*5
a1=-16 s10=(-32+27)*5=-25
a1=-8 s10=(-8+27)*5=95
( х^2 - 3 )^2 - 14( х^2 - 3 ) + 13 = 0
Х^2 - 3 = а
а^2 - 14а + 13 = 0
D = 196 - 52 = 144 = 12^2
a1 = ( 14 + 12 ) : 2 = 13
a2 = ( 14 - 12 ) : 2 = 1
X^2 - 3 = 13
X^2 = 16
X1 = 4 ; X2 = - 4
X^2 - 3 = 1
X^2 = 4
X1 = 2 ; X2 = - 2
Ответ 2 ; 4 ; - 2 ; - 4
1) (x-9)(2x+7)=0
x-9=0; 2x+7=0
x=9; 2x=-7
x=9; x=-3.5
Ответ: х = 9; - 3.5
2) -17х+3=-3х+2
-17х+3х=2-3
-14х=-1
х=1/14
Ответ: х=1/14
5x²+7x≥0
5x(x+1.4)≥0
x(x+1.4)≥0
x=0 x= -1.4
+ - +
--------- -1.4 ------------ 0 ------------
\\\\\\\\\\\\ \\\\\\\\\\\\\\\
x∈(-∞; -1.4]U[0; +∞)
⁶√(5а⁵) решение смотри на фотографии