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.

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


Related Discussions:- Quadratic equation

Find the sum of given equation upto n limit, Find the sum of (1 - 1/n ) + (...

Find the sum of (1 - 1/n ) + (1 - 2/n ) + (1 - 3/n ) ....... upto n terms. Ans: (1 - 1/n ) + (1 - 2/n ) - upto n terms   ⇒[1+1+.......+n terms] - [ 1/n + 2/n +....+

Linear equations in one variable, three prices are to be distributed in a q...

three prices are to be distributed in a quiz contest.The value of the second prize is five sixths the value of the first prize and the value of the third prize is fourfifth that of

Add or subtract operations for complex numbers, performs the mentioned oper...

performs the mentioned operation and write the answers in standard form. ( -4 + 7 i ) + (5 -10 i ) Solution Actually there isn't much to do here other than add or subt

Muptipucation, if 2+2=4 what does two times two epual?

if 2+2=4 what does two times two epual?

Mr, i needed help with algebra

i needed help with algebra

Cross product - vector, Cross Product In this last section we will loo...

Cross Product In this last section we will look at the cross product of two vectors.  We must note that the cross product needs both of the vectors to be three dimensional (3D

Give an example of numerator and denominator, Give an example of Numerator ...

Give an example of Numerator and Denominator? Fractions represent parts of a whole object. Fractions are written using a horizontal line, with one number on top of the line and

Green function, greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t...

greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t,s)= {1-s for t or equal to s

Marketing, What''s the price for a Marketing plan assignment ( postgraduate...

What''s the price for a Marketing plan assignment ( postgraduate)5000 words?

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