Quadratic equation, Mathematics

If roots of (x-p)(x-q) = c are a and b

what will be the roots of (x-a)(x-b) = -c please explain.

Solution)  (x-p)(x-q)=c

x2-(p+q)x-c=0

hence,   a+b=p+q

 and    a.b=pq-c

          a.b+c=p.q

by solving other eq we get

x2-(a+b)x+ab+c=0

thus  sum of roots=a+b=p+q

 product of roots=a.b+c=p.q

hence its roots are pand q

Posted Date: 3/9/2013 8:08:51 AM | Location : United States







Related Discussions:- Quadratic equation, Assignment Help, Ask Question on Quadratic equation, Get Answer, Expert's Help, Quadratic equation Discussions

Write discussion on Quadratic equation
Your posts are moderated
Related Questions
What is the Magna Carta

Diagonals of a trapezium divide each other proportionally: Given : In trapezium ABCD , AB// DC R.T.P :AO/OC = BO/OD Construction: Draw the line PQ; parallel to AB or C

Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. (Ans:999720) Ans: LCM of 24, 15, 36 LCM = 3 × 2 × 2 × 2 × 3 × 5 = 360 Now, the greatest six digit

I need help with my calculus

Tori was asked to provide an example of the commutative property of addition. Which of the subsequent choices would be correct? Using the simple interest formula Interest = pr

to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?


GCD of "27ab,5xy"


X-intercept  If an intercept crosses the x-axis we will call it as x-intercept .  Y-intercept Similar, if an intercept crosses the y-axis we will call it as a y-inter