Question

in each of the following determine whether the given numbers are roots of the equation or not?
x^2-x+1=0;1,-1​

Answer 1

both are not a roots of this equation.

if x=1

x^2-x+1=0

1-1+1 =0

2-1 =0

1=0

hence 1 is not a root.

if x=-1

x^2-x+1=0

1+1+1 =0

3=0

hence -1 is not a root.

Answer 2

Answer:

Step-by-step explanation:

x^2-x+1=0

Put x=1

Then we get,

(1)^2-1+1=0

1-1+1=0

0+1=0

1=0

Therefore, the equation is not of that root 1

Now put x= -1

Then we get,

(-1)^2-(-1)+1=0

1+1+1=0

3=0

Therefore, the equation is not of that root -1