Quadratic equation, Mathematics

Assignment Help:

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?

Ans) (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


Related Discussions:- Quadratic equation

More volume problems, More Volume Problems : Under this section we are de...

More Volume Problems : Under this section we are decide to take a look at several more volume problems. Though, the problems we see now will not be solids of revolution while we

Decomposing polygons to find area, find the area of this figure in square m...

find the area of this figure in square millimeter measure each segment to the nearest millmeter

More optimization problems, More Optimization Problems Example   A w...

More Optimization Problems Example   A window is being built in which the bottom is rectangle and the top is a semicircle. If there framing materials is 12 meters what have

How to solve inequalities, How to Solve Inequalities ? Now that you hav...

How to Solve Inequalities ? Now that you have learned so much about solving equations, you're ready to solve inequalities. You might think that since an equation looks like

Polar to cartesian conversion formulas, Polar to Cartesian Conversion Formu...

Polar to Cartesian Conversion Formulas x = r cos Θ y = r sin Θ Converting from Cartesian is more or less easy.  Let's first notice the subsequent. x 2 + y 2   = (r co

Find the are length and sketch the level curves, 1) Find the are length of ...

1) Find the are length of r(t) = ( 1/2t^2, 1/3t^3, 1/3t^3) where t is between 1 and 3 (greater than or equal less than or equal) 2) Sketch the level curves of f(x,y) = x^2-2y^2

Hypergeometric distribution, Hypergeometric Distribution Consider the p...

Hypergeometric Distribution Consider the previous example of the batch of light bulbs. Suppose the Bernoulli experiment is repeated without replacement. That is, once a bulb is

Multistage sampling, Multistage sampling Multistage sampling is similar...

Multistage sampling Multistage sampling is similar to stratified sampling except division is done on geographical/location basis, for illustration a country can be divided into

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd