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

Find the radii of the two circles , The sum of the diameters of two circle...

The sum of the diameters of two circles is 2.8 m and their difference of circumferences is 0.88m. Find the radii of the two circles  (Ans: 77, 63) Ans:    d 1 + d 2 = 2.8 m=

Fractions, #question.mario has 3 nickelsin his pocket.wha fraction ofadolla...

#question.mario has 3 nickelsin his pocket.wha fraction ofadolla do 3 nickels represent

Taylor series - sequences and series, Taylor Series - Sequences and Series ...

Taylor Series - Sequences and Series In the preceding section we started looking at writing down a power series presentation of a function.  The difficulty with the approach

Determine the nand gate, Find out the two inputs when the NAND gate output ...

Find out the two inputs when the NAND gate output will be low. Ans. The output of NAND gate will be low if the two inputs are 11. The Truth Table of NAND gate is shown

Metric and costamary, can you please help me with this topic that im on in ...

can you please help me with this topic that im on in classand I just don''t get it and can u help me with dividing fractions adding mutply subtract add

Semi-infinite slab solution in fourier number, Consider the temperature dis...

Consider the temperature distribution in a 1D flat plate, insulated at x = L and exposed to convective heat transfer at x = 0. On the axes below, sketch what the distribution looks

Create graph showing the depth of the water , Your friends have opened an o...

Your friends have opened an ocean fishing operation that requires their fishing vessel to cross a channel, where the depth of the water (measured in metres) varies with time, and i

Completely factored polynomial, Factoring polynomials Factoring polynom...

Factoring polynomials Factoring polynomials is done in pretty much the similar manner.  We determine all of the terms which were multiplied together to obtain the given polynom

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