Respuesta :

Answer:

The value of the discriminant is,  32

Step-by-step explanation:

A quadratic trinomial is an expression of the form:

[tex]ax^2+bx+c=0[/tex] ; where x is a variable and a, b and c are non-zero constants. The constant a is called the leading coefficient, b is called the linear coefficient, and c is called the additive constant.  

The discriminant(D) of a quadratic trinomial is defined as: [tex]D=b^2-4ac[/tex]

Given the trinomial  [tex]2x^2+4x-2 = 0[/tex]  

we have a=2, b= 4 and c= -2

then,

[tex]D =b^2-4ac[/tex]

[tex]D=(4)^2-4(2)(-2)[/tex] or

[tex]D = 16+16[/tex]  or

[tex]D=32[/tex]

Therefore, the discriminant  value of the given trinomial is, [tex]32[/tex]

Answer:  The value of discriminant is 32.

Step-by-step explanation:

Since we have given that

[tex]2x^2+4x-2[/tex]

We need to find the value of discriminant  whose formula is given below

[tex]b^2-4ac[/tex]

here

[tex]a=2\\\\b=4\\\\c=-2[/tex]

so, our discriminant becomes,

[tex]4^2-4\times 2\times (-2)\\\\=16+16\\\\=32[/tex]

Hence, the value of discriminant is 32.