Question

Решите уравнение: -Х2-10Х-23=0

Answer 1

- x^2 - 10x - 23 = 0   //: (-1)
x^2 + 10x + 23 = 0 
D = 100 - 4*23 = 8
√D = 2√2
x1 = ( - 10 + 2√2)/2 = - 5 + √2
x1 = ( - 10 - 2√2)/2 = - 5 - √2

Answer 2

$\\ - x^{2} - 10 x - 23 = 0 | *(-1) \\ \\ x^{2} +10x+23=0 \\ \\ D=(10)^{2}-4*23=100 - 92 = 8 \\ \\ \sqrt{8} =2 \sqrt{2} \\ \\ x_{1}= \frac{-10-2 \sqrt{2}}{2} =-5 + \sqrt{2} \\ \\ x_{2}= \frac{-10+2 \sqrt{2}}{2} =-5 - \sqrt{2}$