Study the equation `x^(2) + 10x = -2` and write answers to the following questions in your own words :
(a) Is this a quadratic equation ? Why ?
(b) Can you solve this equation by the method of factorisation ? Give reason.
(c) Is the left hand side of the equation a perfect square ? Which term should be added to make it a perfect square ?

Answer

(a) Yes. X is the only variable with highest index 2.
(b) No. It is not possible to find two factors of 2 whose sum is 10.
(c) No. 25 should be added to `x^(2) + 10x` to make it a perfect square.