5x^2 + 4x - 1 = 0
D = b^2 + 4ac = 16 + 20 = 36
x1 = ( - 4 + 6)/10 = 2/10 = 1/5 = 0,2
x2 = ( - 4 - 6)/10 = - 10/10 = - 1
1/ x0+deltax=x1=4.01 f(x0)=1+2*4=9
f(x1)=1+2*4.01=1+8.02=9.02 delta f(x) =9.02-9=0.2
2/ f(x)=-5x+1.6 f(x0)=-5(-5)+1.6=25+1.6=26.6
x1=-5-0.1=-5.1 f(-5.1)=-0.55(-5.1)+1.6=27.1
delta f(x)=27.1-26.6=0.5
Раскроем скобки для начало:
9-4x+4x^2-25=0
упростим
4x^2-4x-16=0
Д=16+16*4*4=√272
x1=4+√272/8
x2=4-√272/8