Question

Quadratic equations, which are expressed in the form of ax^2+bx+c=0, where a does not equal 0, may have how many solutions…explain

Answer 1

the quadratic will have 2 solutions.

the solutions may be unequal or equal

Unequal solutions

\[x^2 + 4x + 3 = 0.....(x + 3)(x +1) = 0\]

so the solutions are -3 and -1

equal solutions

\[x^2 + 4x + 4 = 0.... (x +2)(x+2) =0....... (x+2)^2 = 0\]

so there is a repeated equal solution of -2 and -2