Question

Si x1, x2 son las raíces de la ecuación, en variable x,

Halle x1 + x2

Answer 1

2(X²+2X+1)-X=X²+10X+3X-27+7
2X²+4X+2-X=X²+13X-20
2X²+3X+2=X²+13X-20
X²-10X+22=0
-Fórmula general:
{a +- √[b²-4(a)(c)]}/2(a)

-Siendo a=1, b=-10 y c=22:
{10 +- √[10²-4(1)(22)]}/2(1) =
= [10 +- √(100-88)]/2
= [10 +- √(12)]/2
= [10 +- 2√3]/2
=> ▪X1=(10+2√3)/2
X1=2(5+√3)/2
X1=5+√3
▪X2=(10-2√3)/2
X2=2(5-√3)/2
X2=5-√3
=>X1+X2=(5+√3)/2 + (5-√3)/2
X1+X2=(5+√3+5-√3)/2
X1+X2=10/2
X1+X2=5