Respuesta :

Answer: Answer is D = 89

Step-by-step explanation:

Quadratic equation is given as: [tex]ax^{2} + bx + c = 0[/tex]

Given Quadratic equation is [tex]2x^{2} + 5x -8 = 0[/tex]

Comparing the equation, we get

a=2, b=5, c= -8

Discriminant D is given as [tex]D =b^{2} -4ac[/tex]

[tex]D = 5^{2} -4(2)(-8)[/tex]

[tex]D = 25+64[/tex]

[tex]D =89 [/tex]

Thus, Correct answer is D. 89