3х²+9х+10=0
D= 81 - 120 = - 39 < 0
действительных корней нет
2х²+8х-11=0
D= 64 +88= 152
x₁= ( - 8+ 2√39)/ 4 = -2 + (1/2)√39
x₂= ( - 8 - 2√39)/ 4 = -2 - (1/2)√39
2x²+6x-25= 0
D= 36+200 = 236
x₁= ( - 6 +2√59)/4 = - 1,5 + (1/2)√59
x₂= ( - 6 - 2√59)/4 = - 1,5 - (1/2)√59
2x²+3x+1=0
D=9 - 8=1
x₁=( -3+1)/4= -1/2
x₂=( -3 -1)/4 = -1
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Answers & Comments
3х²+9х+10=0
D= 81 - 120 = - 39 < 0
действительных корней нет
2х²+8х-11=0
D= 64 +88= 152
x₁= ( - 8+ 2√39)/ 4 = -2 + (1/2)√39
x₂= ( - 8 - 2√39)/ 4 = -2 - (1/2)√39
2x²+6x-25= 0
D= 36+200 = 236
x₁= ( - 6 +2√59)/4 = - 1,5 + (1/2)√59
x₂= ( - 6 - 2√59)/4 = - 1,5 - (1/2)√59
2x²+3x+1=0
D=9 - 8=1
x₁=( -3+1)/4= -1/2
x₂=( -3 -1)/4 = -1