Question
Find the number of real number solutions for the equation.
x2 − 6 = 0
1
2
0
x2 − 6 = 0
1
2
0
Answers
GPT 3.5
The equation is x^2 - 6 = 0.
To find the number of real number solutions, we can use the discriminant, which is the value inside the square root in the quadratic formula. The discriminant is b^2 - 4ac.
In this equation, a = 1, b = 0, and c = -6. Plugging these values into the discriminant formula, we get:
0^2 - 4(1)(-6) = 0 - (-24) = 24
Since the discriminant is positive (24), there are 2 real number solutions. Answer: 2.
To find the number of real number solutions, we can use the discriminant, which is the value inside the square root in the quadratic formula. The discriminant is b^2 - 4ac.
In this equation, a = 1, b = 0, and c = -6. Plugging these values into the discriminant formula, we get:
0^2 - 4(1)(-6) = 0 - (-24) = 24
Since the discriminant is positive (24), there are 2 real number solutions. Answer: 2.