x^2-2x+3=0 solve the following quadratic equation by factorisation.
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For equation ax + bx + c = 0
Roots are given as
-b + b 4ac
2a
Now let us compare ax + bx+c O with x – 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) + (-2)2 – 4(1)(3)
2 x 1
24 - 12
2
2 士V 8
2
= 1+iv2
Hence the roots of the equation x²-2x + 3 = 0 are
imaginary
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