Respuesta :
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: 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 :
[tex]3x^2+6x=2\\\\\Rightarrow 3x^2+6x-2=0~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the discriminant of a quadratic equation [tex]ax^2+bx+c=0,~a\neq 0[/tex] is given by
[tex]D=b^2-4ac.[/tex]
For the given equation (i), we have
a = 3, b = 6 and c = -2.
Therefore, the discriminant of the given equation will be
[tex]D=b^2-4ac=6^2-4\times3\times(-2)=36+24=60.[/tex]
Thus, the required discriminant of the given quadratic equation is 60.
