1. a = 4; b = 36
1/√4 - √36 = 1/2 - 6 = 0,5 - 6 = -5,5
2. a = 100; b = 324
1/√100 - √324 = 1/10 - 18 = 0,1 - 18 = -17,9
3. a = 16; b = 289
1/√16 - √289 = 1/4 - 17 = 0,25 - 17 = -16,75
4. a = 4; b = 100
1/√4 - √100 = 1/2 - 10 = -,5 - 10 = -9,5
3х + 7y = 2
2x - 5y = 1
Решение
2х = 5y + 1
x = 2,5y + 0,5
3x + 7y = 2
3( 2,5y + 0,5 ) + 7y = 2
7,5y + 1,5 + 7y = 2
14,5y = 0,5
y = 5/145
y = 1/29
x = 2,5•( 1/29 ) + 0,5 = ( 5/2 )•( 1/29 ) + ( 1/2 ) = ( 5/58 ) + ( 29/58 ) = 34/58 = 17/29
Ответ ( 17/29 ; 1/29 )
Sinx+sin3x=4cos²x
2sin(x+3x)/2×cos(x-3x)/2=4cos²x
2sin2xcosx=4cos²x
2×2×sinx×cosx×cosx=4cosx²
4cos²xsinx-4cos²x=0
4cos²x(sinx-1)=0
4cos²x=0 sinx-1=0
cosx=0 sinx=1
x=
+πn, n∈Z x=
+2πn<span>, n</span>∈Z
A) a + b + 2c = (a + b) + 2·c = 10 + 2· 7 + 24
b) a + b - c = (a + b) - c = 10 - 7 = 3