# What is the discriminant of 3x^{2} + 6x = 2 ?

A quadratic equation is in the form of ax^{2} + bx + c = 0. We can calculate the roots of the quadratic equation using Cuemath's quadratic equation root calculator.

## Answer: The value of the discriminant for the quadratic equation 3x^{2} + 6x = 2 is 60.

Let's understand the solution in detail.

**Explanation:**

A discriminant of a quadratic equation is a function of the coefficients of the polynomials. To convert the equation in the standard form ax^{2} + bx + c = 0,

We will subtract 2 from both sides.

⇒ 3x^{2} + 6x - 2 = 0.

Here, a = coefficient of x^{2}, b = coefficient of x and c = constant term.

According to the above equation, a = 3, b = 6 and c = -2.

⇒ b^{2} - 4ac = (6) ^{2} - 4 × (3) × (- 2)

⇒ 36 - 4 × (- 6 )

⇒ 36 + 24

⇒ 60

You can use Cuemath's Discriminant Calculator to verify your answer.

Since the value of the discriminant is positive, the equation has real and distinct roots.