4x² + 1 = 0 a = 4 | b = 0 | c = 1
D = b² - 4ac = 0 - 4 * 4 * 1 = 0 - 16 = -16 < 0, корней нет
2m² - 3m = 8 -3m
2m² - 3m - 8 + 3m = 0
2m² - 8 = 0 a = 2 | b = 0 | c = -8
D = b² - 4ac = 0 - 4 * 2 * (-8) = -64 < 0, нет корней
3x² - 4x = 0 a = 3 | b = -4 | c = 0
D = b² - 4ac = 16 - 4 * 3 * 0 = 16 > 0, 2 корня
x₁ = -b + √D/2a = 4 + 4/6 = 8/6 = 4/3
x₂ = -b - √D/2a = 4 - 4/6 = 0/6 = 0
4x² - 9 = 0 a = 4 | b = 0 | c = -9
D = b² - 4ac = 0 - 4 * 4 * (-9) = 144 > 0, 2 корня
x₁ = -b + √D/2a = 0 + 12/8 = 12/8 = 3/2 = 1,5
x₂ = -b - √D/2a = 0 - 12/8 = -12/8 = -3/2 = -1,5
отметь как лучший!
1) a/16 + x/16 =(a+x)/16
2) 5m/n - 3m/n =2m/n
3) 3x +4y/12 - x+2y/12 =2x+6y/12=2x+y/2
4) a+2b/2c - a-4b/2c =b/c-2b/c=-b/c
5) a-8/a^2-25 + 13/a^2-25 =a-8/(a+5)*(a-5)
6) 5x+1/2 - x/2 =9x/2+1/2=4,5x+1/2
7) a+3/4 - a+1/4 =4/4=1
8) 2x/a-b - x/b-a =2x/a-b + x/a-b=3x/a-b
9) a/x-1 + b/1-x =a/x-1 - b/x-1=a-b/x-1
10) a-5/a-3 + a+5/3-a =a-5/a-3 - a+5/a-3=(a-5)*(a+5)/a-3=(a^2-25)/a-3
11) 3x-2/5 + 5x-3/3 =(9x-6+25x-15)/15=(24x-21)/15=3*(8x-7)/15=(8x-7)/5
12) 2m+5/6 - m-a/8 =m+(20-6a)/24=m+2*(10-3a)/24=m+(10-3a)/12
13) 7/10a -5/4a =(70-25)/20a=45/20a=9/4a