(0,216:0,15+0,56):0,25=8.00
(7,8-1,28:3,2):370=0
√(x-2) + √(x +6) = 4 |²
x -2 + 2√<span>(x-2) (x +6) + x +6 = 16
2</span>√<span>(x-2) (x +6) = 16 -x +2 -x -6
2</span>√<span>(x-2) (x +6) = 12 -2x
</span>√(x-2) (x +6) = 6 -x |²
<span>(x-2) (x +6) = 36 - 12x +x</span>²
x² +4x -12 = 36 - 12x +x²
16x = 48
x = 3
Обязательно нужна проверка:
√(3-2) +√ (3 +6) = 4 (истинное равенство)
Ответ: 3
1) Int (2x^(-1/2) + 5x^(3/2) - 4x^(1/3)) dx =
= 2x^(1/2)/(1/2) + 5x^(5/2)/(5/2) - 4x^(4/3)/(4/3) + C = 4√x + 2x^2*√x - 3x*<span>∛x + C
2) Int (x^2 - 3)/(2(1+x^2)) dx = 1/2*Int x^2/(1+x^2) dx - 3/2*Int 1/(1+x^2) dx =
= 1/2*Int (1+x^2-1)/(1+x^2) dx - 3/2*arctg x = 1/2*Int (1 - 1/(1+x^2)) dx - 3/2*arctg x =
= 1/2*(x - arctg x) - 3/2*arctg x + C = x/2 - 2arctg x + C
</span>
А)8/10 - 5/6 = -1/30
б)-1/50 + 137/100 = 135/100 = 1,35
в)-7,11 - 0,5 = -7,61
г)2/3 - 4/5 = -2/15
д)-2/7 х 14/10 = -2/5
е)-24/100 х (-3/16) = 9/200
ж)42/10 : (-6/7) = 49/10 = 4,9
з) 16/100 : 2, 2/5 = 4/11
и) 31/50 : 64/100 = 31/32