(23+3x)+(8-41)=15
Решение
23+3x-33=15
-10+3x=15
3x=15+10
3x=25
x=25:3
x= 8целых 1/3 ≈ 8,33333...
Ответ: 8целых 1/3
Cos(4x+2)= -√2/2
4x+2= (+/-) 3π/4 + 2πk, k∈Z
4x= (+/-) 3π/4 - 2 + 2πk
x=(+/-) 3π/16 - ¹/₂ + ¹/₂ πk, k∈Z.
y = x^2 - l2x - 4l
{ x^2 - 2x + 4 ; x >= 2
y = {
{ x^2 + 2x - 4 ; x < 2
{ 2x - 2 ; x >= 2
y' = {
{ 2x + 2 ; x < 2
y(кас) = y'(x0) (x - x0) + y(x0)
y1 (x0) = y1 (3) = 9 - 6 + 4 = 7
y'1 (x0) = 6 - 2 = 4
y(кас)1 = 4(x - 3) + 7 = 4x - 12 + 7 = 4x - 5
y2 (x0) = y2 (-3) = 9 - 6 - 4 = -1
y'2 (x0) = -6 + 2 = -4
y(кас)2 = -4(x + 3) - 1 = -4x - 12 - 1 = -4x - 13
y(кас)1 = y(кас)2
4x - 5 = -4x - 13
8x = - 13 + 5
8x = -8
x = -1
y(кас) (-1) = 4 - 13 = -9
Ответ : -9
X² - 6x + 5 = 0
D = b² - 4ac = 36 - 4*5 = 36 - 20 = 16
x(1) = -b+√D / 2a = 6+4 / 2 = 5
x(2) = -b-√D / 2a = 6-4 / 2 = 1
Ответ: 1;5
√0,81*а^3=√0,9^2*a^2*a=0,9a√a