Question

Fie ecuația x^2-3x+1=0 .Calculați x1^2*x2+x1*x2^2
Factor comun:x1x2

Answer 1

${x}^{2} - 3x + 1 = 0$

$a = 1$

$b = - 3$

$c = 1$

${x_{1}}^{2}\times x_{2}+x_{1}\times{x_{2}}^{2} = x_{1}x_{2}(x_{1} + x_{2}) = p \times s$

$s = x_{1} + x_{2} = - \frac{b}{a} = - \frac{ - 3}{1} = 3$

$p = x_{1}x_{2} = \frac{c}{a} = \frac{1}{1} = 1$

$= > p \times s = 1 \times 3 = 3$