Question

Дано квадратное уравнение x2-8,1x+4,6 равно нулю,укажи сумму и произведения корней

Answer 1

Объяснение:

х²-8.1x+4.6=0

D= (-.8.1)²-4*1*4.6 = 65.61- 18.4 = 47.21

√D = √47.21 ≈ 6.87

$x1 = \frac{8.1 + 6.87}{2} = \frac{14.97}{2} = 7.485$

$x2 = \frac{8.1 - 6.87}{2} = \frac{1.23}{2} = 0.615$

x1 + x2 = 7.485+0.615 = 8.1

x1* x2 = 7.485* 0.615= 4.6

Answer 2

$\displaystyle\bf\\x^{2} -8,1x+4,6=0\\\\Teorema \ Vieta:\\\\x_{1} +x_{2} =8,1\\\\x_{1} \cdot x_{2} =4,6$