Question

sejam os polinomios p1(x)=x2 -5x +6 e p2(x)= x 2-7x+10 e sejam x1 e x2 as raizes de p(x), e x3 e x4 as raizes de p2(x). Qual é o valor de (x1-x2) + (x3-x4)?

Answer 1

P1(x)
X2-5x+6 =0
/\ = delta
/\=b2-4a•c
/\=25-24=1
X= -b+/- raiz/\ / 2a
x= 5+/- 1 /2
X2= 5+1 /2= 6/2=3
X1=4/2=2

P2(x)
X2 - 7x + 10 =0
/\=49-40 =9
X =7+/-3/2
X4= 7+3/2=5
X3=4/2=2

(2-3)+(2-5)= -1+(-3) =-4