# math

• Aug 8th 2005, 08:41 PM
Angel007
math
1.) Why are there usually two solutions in quadratic equations?

2.) Under what situation would one or more solutions of a rational equation be unacceptable?

:confused:
• Aug 9th 2005, 04:38 AM
Cold
Hi

1) Why are there usually two solutions in quadratic equations?

I think it'd be a useful for you to look at your choice of words and ask;

Why usually and not always? What are solutions? Can a quadratic equation have no solutions?

What is a quadratic equation? Why equation and not expression? Is there a difference?

Is x^2 - 2x = 3x - 6 a quadratic equation? If so why?

Is x(x+2) = -4 a quadratic.

If I said any quadratic equation can be written as ax^2 + bx + c = 0 is this true? What would the above equations look like?

Think about factorising a^2 + bx + c into (cx + d)(ex + f).

Even if it was true why bother with the 0? Hint (think about the values of a and b that make a x b = 0)

Draw graphs of the equations that you know the solutions for. Does the shape of the graph suggest a reason why your statement is or isn't true?