Question
9w^2+6w+8=0
How many real solutions does the equation have
no real solutions
one real solution
two real solutions
How many real solutions does the equation have
no real solutions
one real solution
two real solutions
Answers
GPT 3.5
Since this is a quadratic equation, the number of real solutions can be determined by calculating the discriminant.
The discriminant formula is b^2 - 4ac, where a = 9, b = 6, and c = 8 in the equation 9w^2+6w+8=0
Plugging these values into the formula gives:
Discriminant = 6^2 - 4 * 9 * 8 = 36 - 288 = -252
Since the discriminant is negative (-252), the equation has no real solutions.
The discriminant formula is b^2 - 4ac, where a = 9, b = 6, and c = 8 in the equation 9w^2+6w+8=0
Plugging these values into the formula gives:
Discriminant = 6^2 - 4 * 9 * 8 = 36 - 288 = -252
Since the discriminant is negative (-252), the equation has no real solutions.