Question

(x^2 + x) + ã(x^2 + x) - 2 = 0

Answer 1

Is this supposed to say ...

(x^2+x) + √(x^2+x) - 2 = 0 ?

if so, then let y = √(x^2+x)
your equation becomes

y^2 + y - 2 = 0
(y+2)(y-1) = 0
y = -2 or y = 1

sub back into the substitution and you have two quadratic equations to solve.
e.g
√(x^2 + x) = -2 which of course cannot have a real number solution and
√(x^2+x) = 1
square both sides and proceed from there.

Answer 2

A line passes through the points whose coordinates are (c,3c) and (2c,5c).Assuming that c is not 0 find the slope of the line