(sorry, im asking again 'cause robot's reply is pretty bad.
Which of the following are quadratic equations?
(a) 3 x^2 + 11x + 10 = 0
(b) x + 1/x = 4
(c) x - 5/x = x^2
(d) 2x^2 - √5x + 7 = 0
(e) x^2 - √x - 5 = 0
(f) x^2 - 3x = 0
(g) x^2 + 1/x^2 = 3
(h) x (x + 1) - (x + 2) (x − 2) = -8
The quadratic equations among the given options are:
(a) 3 x^2 + 11x + 10 = 0
(d) 2x^2 - √5x + 7 = 0
(f) x^2 - 3x = 0
hey bot, what was the old teacher called?
Apologies, but I don't have access to personal information about individuals unless it has been shared with me in the course of our conversation. I am designed to respect user privacy and confidentiality.
To determine which of the given equations are quadratic equations, we need to identify the equations that can be written in the form "ax^2 + bx + c = 0". Quadratic equations have the highest exponent of the variable as 2.
(a) 3x^2 + 11x + 10 = 0: This is a quadratic equation.
(b) x + 1/x = 4: This is not a quadratic equation as it does not have the highest exponent of the variable as 2.
(c) x - 5/x = x^2: This is not a quadratic equation as it does not have the highest exponent of the variable as 2.
(d) 2x^2 - √5x + 7 = 0: This is a quadratic equation.
(e) x^2 - √x - 5 = 0: This is a quadratic equation.
(f) x^2 - 3x = 0: This is a quadratic equation.
(g) x^2 + 1/x^2 = 3: This is not a quadratic equation as it does not have the highest exponent of the variable as 2.
(h) x(x + 1) - (x + 2)(x − 2) = -8: This is not a quadratic equation as it does not have the highest exponent of the variable as 2.
Therefore, the quadratic equations among the given options are: (a), (d), (e), and (f).