Quadratic Equations Question?

Question

3x^2+ bx - 3 = 0
breaks down to: x^2-2x-6=0
What would be a rule for judging if an equation has solutions by looking at it in standard form?

Answer 1

For an equation of the form ax^2 + b*x + c = 0 -- it will have two solutions if (b-4ac) is positive, one solution if it is zero and no Real solutions if it is negative.