# What is the discriminant of 6y^2+2=-7y?

Jul 5, 2017

The discriminant is $= 1$

#### Explanation:

Let's rewrite the equation

$6 {y}^{2} + 2 = - 7 y$

$6 {y}^{2} + 7 y + 2 = 0$

We compare this equation to

$a {x}^{2} + b x + c = 0$

The discriminant is

$\Delta = {b}^{2} - 4 a c$

$= {\left(7\right)}^{2} - 4 \cdot \left(6\right) \cdot \left(2\right)$

$= 49 - 48 = 1$

As,

$\Delta > 0$, there are 2 real roots