Question

x^2-x+1 by spilting the middle term​

Answer 1

Completing Square Method:

x²-x+1=0............. (Given)

Comparing the above equation with ax²+bx+c=0

a=1 , b=-1 and c=1

Now, third term=(b/2) ²

=(-1/2) ²

=1/4

Now by completing square method,

x²-x+1/4-1/4+1=0

(x+1/2) ²-1/4+1=0

(x+1/2) ²-1+4/4=0

(x+1/2) ²+3/4=0

(x+1/2) ²= -3/4

x+1/2= √-3/2

x±1/2=√-3/2

x=√-3/2+1/2 or √-3/2 -1/2

x=√-3+1/2 or √-3-1/2

Answer 2

Answer:

x^2+2x+1=0

x^2+(1+1)X+1=0

x^2+X+X+1=0

X(X+1)+1(X+1)=0

(X+1)(X+1)=0

X=-1,X=-1