# How many number roots does the equation have 3x^2-6x+3=0?

Dec 11, 2016

1 unique root

#### Explanation:

$3 {x}^{2} - 6 x + 3 = 0$

$\implies 3 \left({x}^{2} - 2 x + 1\right) = 0$

$\implies {x}^{2} - 2 x + 1 = 0$

$\implies {\left(x - 1\right)}^{2} = 0$

$\implies x = 1$

The equation has 1 unique root