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
Steve Fossett is going the shores of Australia on the ?rst successful solo hot air balloon ride around the world. His balloon, the Bud Light Spirit of Freedom, is being escorted

The sum of the squares of two consecutive positive odd integers is 74. What is the value of the smaller integer? Let x = the lesser odd integer and let x + 2 = the greater odd

The distance from the sun to the earth is approximately 9.3 × 10 7 miles. What is this distance expressed in standard notation? In order to convert this number to standard not

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

A house painter uses the formula, c = $110.50 + $39.50h, where c is the total cost and h is the number of hours he works, to determine how much he charges his customers. How much s

Find out the surface area of the solid acquired by rotating the following parametric curve about the x-axis. x = cos 3 θ y = sin 3 θ  0 ≤ θ ≤ ?/2 Solution We wil

The King Company is producing two types of products: A and B. Both products are produced on the similar machining operation. The machines operate on two 8-hour shifts, 5 days per w

Determine equation of the tangent line to f (x) = 4x - 8 √x  at x = 16 . Solution : We already know that the equation of a tangent line is specified by,

Consider the clique graph below. a) How many subgraphs of G with 3 nodes are there?  b) How many of the subgraphs defined in part(a) are induced subgraphs?

The Dow Jones Industrial Average fell 2% presently. The Dow began the day at 8,800. What was the Dow at the end of the day after the 2% drop? The Dow lost 2%, so it is worth 9