# For the quadratic equation 3x^2 -5x +2= 0. How do you name the larger of the two solutions?

Nov 29, 2016

$x = 1$

#### Explanation:

Find the factors of the quadratic trinomial first.

$3 {x}^{2} - 5 x + 2 = 0$

$\left(3 x - 2\right) \left(x - 1\right) = 0$

Solve each factor equal to 0.

$3 x - 2 = 0 \text{ "rarr 3x=2" } \rightarrow x = \frac{2}{3}$

$x - 1 = 0 \text{ } \rightarrow x = 1$

Of the two solutions, $x = 1$ is the larger.