Question

X2-2x+3
Formula method

Answer 1

For equation ax
2
+bx+c=0
Roots are given as =
2a
−b±
b
2
−4ac
​

​

Now let us compare ax
2
+bx+c=0 with x
2
−2x+3=0 to find the values of a,b,c
After it we can directly put a,b,c into the formula to find the roots
By comparing a=1,b=−2,c=3
So roots =
2×1
−(−2)±
(−2)
2
−4(1)(3)
​

​

=
2
2±
4−12
​

​

=
2
2±
−8
​

​

=1±i
2
​

Hence the roots of the equation x
2
−2x+3=0 are imaginary

Hope it helps

Answer 2

Answer:

x2-2x+3=0

hope you understand