Use the discriminant to determine the number of real-number solutions for the equation:
8x2 + 8x + 2 = 0
a. one solution
b. two solutions
c. no solutions
d. infinitely many solutions

A. One solution

Step-by-step explanation:

Given quadratic equation is,

Since, if for a quadratic equation ,

The discriminant,

The equation has two real different solutions,

If D = 0,

The equation has one real solution with multiplicity two,

While, if D < 0,

The equation has two imaginary solutions,

Here, the discriminant,

Thus, by the above explanation,

It is clear that the given equation has one real solution,

Option A is correct.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐