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.

if x decreases by 4 then y increases by 10

step-by-step explanation:

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