Posted by **Jayden Haddy** on Saturday, August 3, 2013 at 12:24am.

solve the equation

express the answers in p and q

x(square) - (p+q)x + (p+1)(q-1)=0

Then x=? or x=?

- maths -
**Jai**, Saturday, August 3, 2013 at 2:26am
Recall that in a quadratic equation,

x^2 - (sum of roots)x + (product of roots) = 0

or if we let a & b the roots,

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

From the given equation, we can see that the constant term is factored, which is (p+1)(q-1). Now, let's assume that the roots are p+1 and q-1. We then check its sum if it is equal to p+q. If it is, then they are the roots of the equation:

p + 1 + q - 1 = p + q

Therefore the roots are p+1 and q+1.

Another way to solve this is to use the quadratic equation:

x = [-b +/- sqrt(b^2 - 4ac)] / 2a

You should get the same answer.

Hope this helps~ :)

- maths-typo -
**Jai**, Saturday, August 3, 2013 at 2:32am
*I mean the roots are p+1 and q-1.

Just a typo error. Sorry about that. :3

## Answer this Question

## Related Questions

- maths - Consider the equation x(square) + 4px + 2q = 0 where p and q are real ...
- Algebra - Use the quadratic formula to solve the equation. Give exact answers: ...
- Algebra - I have a few questions that I need help with. Solve the radical ...
- math - is these answers correct? solve the equation: 2x^2 +8x - 17=(x +2)^2= x=-...
- trigonometry - Complete the square to Solve Quadratic Equation: Solve the ...
- trigonometry - Complete the square to Solve Quadratic Equation: Solve the ...
- Algebra III / Core II - It has been since the beginning of last year since I ...
- maths - solve the following equation by completing the square x(square) - 4(...
- Algebra-please check my answers - Solve the equation by expressing each side as ...
- maths - solve the following equation by completing the square x(square) -13x + ...

More Related Questions