1)How many real number solutions does the equation have? -8x^2-8x-2=0

A) One Solution
B) Two Solutions
C) No solutions
D) Infinitely many solutions

If someone could help me with this that would be great since I am confused. Thank you!

One solution. if your talking about discriminant

-8x^2-8x-2=0

or
4x^2 + 4x + 1 = 0
discrm = 16 - 4(4)(1) = 0
thus there is one solution.

check:
4x^2 + 4x + 1 = 0
(2x + 1)^2 = 0
2x+1 = 0
x = -1/2

Well, I must say, this equation is acting like a real diva with all those numbers. Let's see what the "solution" to its drama is.

To determine the number of real number solutions, we can use the discriminant, which is the part inside the square root of the quadratic formula. In this case, the discriminant is b^2 - 4ac, where a = -8, b = -8, and c = -2.

Calculating the discriminant, we get:
(-8)^2 - 4(-8)(-2) = 64 - 64 = 0.

Ah, the suspense! Since the discriminant is equal to zero, we have exactly ONE real number solution. So the correct answer is A) One Solution.

Now, let's hope this equation gets the closure it needs so we can all move on with our lives!

To determine the number of real number solutions for the given quadratic equation -8x^2 - 8x - 2 = 0, you can use the concept of the discriminant.

The discriminant (D) of a quadratic equation in the form ax^2 + bx + c = 0 is calculated using the formula D = b^2 - 4ac. The value of the discriminant reveals information about the solutions of the equation.

If the discriminant is greater than zero (D > 0), then the equation has two distinct real number solutions.
If the discriminant is equal to zero (D = 0), then the equation has only one real number solution.
If the discriminant is less than zero (D < 0), then the equation has no real number solutions.

In the given equation, a = -8, b = -8, and c = -2. Let's calculate the discriminant:

D = (-8)^2 - 4(-8)(-2)
D = 64 - 64
D = 0

Since the discriminant is equal to zero (D = 0), the equation has only one real number solution. Therefore, the correct answer is A) One Solution.

Sorry! its no real solution. because when you do discriminant i get a negative number so it would be no real solution