Respuesta :
f(x+5)
Step1:
f(x+5)=(x+5)^2+3(x+5)-10
f(x+5)=x^2+10x+25+3x+15-10
f(x+5)=x^2+13x+30
Step
f(x)=x^2+3x-10
f(x+5)=x^2+13x+30
f(x+5)=0
0=x^2+13x+30
factor
0=(x+3)(x+10)
x+3=0
x=-3
x+10=0
x=-10
-10<-3
smalle zero is x=-10.....
Step1:
f(x+5)=(x+5)^2+3(x+5)-10
f(x+5)=x^2+10x+25+3x+15-10
f(x+5)=x^2+13x+30
Step
f(x)=x^2+3x-10
f(x+5)=x^2+13x+30
f(x+5)=0
0=x^2+13x+30
factor
0=(x+3)(x+10)
x+3=0
x=-3
x+10=0
x=-10
-10<-3
smalle zero is x=-10.....
f(x+5)=(x+5)^2+3(x+5)-10
f(x+5)=x^2+10x+25+3x+15-10
f(x+5)=x^2+13x+30 and f(x+5)=x^2+kx+30 so
k=13
Now factor x^2+13x+30
Find j and k such that jk=ac=30 and j+k+b=13 so j and k are 10 and 3 so
(x+3)(x+10)
So the two zeros occur when x=-3 and -10 the smallest of which is:
x=-10
f(x+5)=x^2+10x+25+3x+15-10
f(x+5)=x^2+13x+30 and f(x+5)=x^2+kx+30 so
k=13
Now factor x^2+13x+30
Find j and k such that jk=ac=30 and j+k+b=13 so j and k are 10 and 3 so
(x+3)(x+10)
So the two zeros occur when x=-3 and -10 the smallest of which is:
x=-10