Question

What is the discriminant of 3x2 + 6x = 2?

Answer 1

Answer: x = 1/6 or 1.6667

Steps

3x * 2 + 6x = 2

Multiply the numbers: 3 * 2 = 6

6x + 6x = 2

Add similar elements: 6x + 6x = 12x

12x = 2

Divide both sides by 12

12x / 12 = 2 / 12

Simplify

x = 1/6

Answer 2

Answer: The required discriminant of the given quadratic equation is 60.

Step-by-step explanation: We are given to find the discriminant of the following quadratic equation :

`3x^2+6x=2\\\\\Rightarrow 3x^2+6x-2=0~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We know that

the discriminant of a quadratic equation
`ax^2+bx+c=0,~a\\eq 0` is given by

`D=b^2-4ac.`

For the given equation (i), we have

a = 3, b = 6 and c = -2.

Therefore, the discriminant of the given equation will be

`D=b^2-4ac=6^2-4*3*(-2)=36+24=60.`

Thus, the required discriminant of the given quadratic equation is 60.