Question

The number of real roots of the equation (x - 1)square + (x - 2)square + (x - 3)square is

(A) 2 (B) 1 (C) 0 (D) 3 ​

Answer 1

Let x=€ (Just for easy typing)

€²+1-2€+€²+4-4€+€²+9-6€

3€²-12€+14

A quadratic equation implies 2 real roots.

Answer 2

Answer:

Option C=0

Step-by-step explanation:

Given,

(x−1)

2

+(x−2)

2

+(x−3)

2

=0

⇒x

2

−2x+1+x

2

−4x+4+x

2

−6x+9=0

⇒3x

2

−12x+14=0

Let D be the discriminant of the obtained quadratic equation.

D=(−12)

2

−4×14×3

=144−168

=−24