Х+m-2(x-m)=6
2x-m-2(3x+2m)=-78
x+m-2x+2m=6
2x-m-6x-4m=-78
-x+3m=6
-4x-5m=-78
x=3m-6
-4(3m-6)-5m=-78
-12m+24-5m=-78
-17m=-78-24
-17m=-102
m=6 x =3*6-6=12
B5 = b4 · q → q = 1/64 : 1/16 = 1/4
bn =b1 · q^(n -1)
n = 5
b5 = b1 · q^4 → b1 = 1/64 : (1/4)^4 = 1/64 · 256 = 4
Sn = b1 · (q^n - 1) / (q - 1)
n = 5
S5 = (b5 · q - b1) / (q - 1)
S5 = (1/64 · 1/4 - 4) / (1/4 - 1) = 341/64 = 5 21/64 = 5,328125
Ответ: 5 21/64 или 5,328125
5x² + 3x - 8 = 0
D = b² - 4ac = 9 - 4 × 5 × (-8) = 9 + 160 = 169 = 13²
x1 = ( - 3 + 13) / 10 = 1
x2 = ( - 3 - 13) / 10 = - 1,6
Ответ: x1 = 1, x2 = - 1,6.
(2x + 3)( 3x + 1) = 11x + 30
6x² + 11x + 3 = 11x + 30
6x² + 11x - 11x = 30 - 3
6x² = 27
6x² - 27 = 0
2x² - 9 = 0
2x² = 9
x² = 4,5
x1,2 = +/-√4,5
Ответ: x1,2 = +/-√4,5
x² + 4x - 2 = 0
D = b² - 4ac = 16 - 4 × (-2) = 16 + 8 = 24
x1 = ( - 4 + 2√6) / 2 =-2(2-√6)/2 = - (2 - √6) = - 2 + √6
x2 = ( - 4 - 2√6) / 2 =-2(2 + √6)/2 = -(2 + √6) = - 2 - √6
Ответ: x1 = - 2 + √6, x2 = - 2 - √6.
<span><u>ab-3b-2a+6</u> = <u>(ab-2a)-(3b-6)</u> = <u>a(b-2)-3(b-2)</u> = - <u>(a-3)(b-2)</u> = - b-2/5 = 2-b/5</span>
15-5a -5(a-3) -5(a-3) 5(a-3)