Question

Which of the following is a quadratic

equation ?
a) x2 + 2x +1 = ( 4-x)2 + 3
b) -2 x2 = (5-x) (2x- 2/5)
c) (k+1) x2 +3/2 x =7 where k is not equal to -1 d) x3 –x2 = (x-1)3
Select one:
a. (k+1) x2 +3/2 x =7 where k is not equal to -1
b.-2 x2 = (5-x) (2x- 2/5)
c. x2 + 2x +1 = ( 4-x)2 + 3
d. x3 –x2 = (x-1)3​

Answer 1

The quadratic equation is an equation of the form ax^2 + bx + c = 0 where a, b and c are constants¹. To determine which of the given options is a quadratic equation, we can check if it is in this form.

Option (a) (k+1)x^2 + 3/2x = 7 where k is not equal to -1 is a quadratic equation because it is in the form ax^2 + bx + c = 0 where a = k+1, b = 3/2 and c = -7.

Therefore, option (a) is the correct answer.

I hope this helps!