Объяснение:
1) 5x²-11x+2=0
D= 121-4×5×2= 121-40= 81
√D= 9
x1= 11+9/10=2
x2= 11-9/10=1/5
2) 2p²+7p-30=0
D= 49-4×2×(-30)= 49+240= 289
√D= 17
x1= -7+17/4= 2,5
x2= -7-17/4= - 6
3) 9y²-30y+25=0
D= 900-4×9+25= 0
x= 30/18= 1,(6)
4) 35x²+2x-1=0
D= 4-4×35×(-1)= 4+ 140 = 144
√D= 12
x1= -2+12/70= 10/70= 1/7
x2= -2-12/70= -14/70 = 0,2
5) 2y²-y-5=0
D= 1-4×2×(-5)= 1+ 40= 41
√D= √41
x1= 1+√41/4 = 1,8
x2= 1-√41/4= -1,4
6) 16x²-8x+ 1=0
D = 64-4×16 < 0
∅
Объяснение:
1) 5x²-11x+2=0
D= 121-4×5×2= 121-40= 81
√D= 9
x1= 11+9/10=2
x2= 11-9/10=1/5
2) 2p²+7p-30=0
D= 49-4×2×(-30)= 49+240= 289
√D= 17
x1= -7+17/4= 2,5
x2= -7-17/4= - 6
3) 9y²-30y+25=0
D= 900-4×9+25= 0
x= 30/18= 1,(6)
4) 35x²+2x-1=0
D= 4-4×35×(-1)= 4+ 140 = 144
√D= 12
x1= -2+12/70= 10/70= 1/7
x2= -2-12/70= -14/70 = 0,2
5) 2y²-y-5=0
D= 1-4×2×(-5)= 1+ 40= 41
√D= √41
x1= 1+√41/4 = 1,8
x2= 1-√41/4= -1,4
6) 16x²-8x+ 1=0
D = 64-4×16 < 0
∅