Find all values of the parameter for which the quadratic equation (a+1)x^2 + 2(a+1)x…

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Find all values of the parameter

a

for which the quadratic equation

(a+1)x^2 + 2(a+1)x + a - 2 = 0

(i) has two distinct roots. (ii) has no roots. (iii) has two equal roots.