1. x1 =0.5 x2= -4
2. x1 = 1 x2 = -2/3
3. x = -1/3
4. х= 1.5
5. корней нет
6. корней нет
Объяснение:
1) 2x^2 + 7x - 4 =0
D=7^2 + 4×2×4 = 49 + 32 = 81 = 9^2
x1 = (-7 + 9) / 2×2 = 2/4 = 0.5
x2 = (-7 -9) / 2×2 = -16/4=-4
2) D = 1 + 4×3×2= 5^2
x1 = 1 + 5 / 6 = 1
x2 = 1 -5 / 6 = -4/6=-2/3
3) D = 6^2 - 9×1×4 = 36-36 = 0
x= -6/18 = -1/3
4) -4x^2 + 12x - 9 =0
4x^2 - 12x + 9 = 0
d = 144 - 4×4×9 = 0
х = 12/8 = 1.5
5) 5х^2-6х+2 = 0
d = 36-5×4×2=-4, d<0 корней нет
6) d = 16 - 3×4×7 = -68, d<0, корней нет
1. x1 =0.5 x2= -4
2. x1 = 1 x2 = -2/3
3. x = -1/3
4. х= 1.5
5. корней нет
6. корней нет
Объяснение:
1) 2x^2 + 7x - 4 =0
D=7^2 + 4×2×4 = 49 + 32 = 81 = 9^2
x1 = (-7 + 9) / 2×2 = 2/4 = 0.5
x2 = (-7 -9) / 2×2 = -16/4=-4
2) D = 1 + 4×3×2= 5^2
x1 = 1 + 5 / 6 = 1
x2 = 1 -5 / 6 = -4/6=-2/3
3) D = 6^2 - 9×1×4 = 36-36 = 0
x= -6/18 = -1/3
4) -4x^2 + 12x - 9 =0
4x^2 - 12x + 9 = 0
d = 144 - 4×4×9 = 0
х = 12/8 = 1.5
5) 5х^2-6х+2 = 0
d = 36-5×4×2=-4, d<0 корней нет
6) d = 16 - 3×4×7 = -68, d<0, корней нет