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

Function and relation, how to know if it is function and if is relation

how to know if it is function and if is relation

Permuation and combination, how many words can be formed from letters of wo...

how many words can be formed from letters of word daughter such that each word contain 2vowles and 3consonant

Precal, The law of cosines can only be applied to acute triangles. Is this ...

The law of cosines can only be applied to acute triangles. Is this true or false?

Area of the equilateral triangle, Area of the equilateral triangle: ...

Area of the equilateral triangle: Given : D, E, F are the mind points of BC, CA, AB. R.T.P. : We have to determine the ratio of the area of of triangle DEF and triangle AB

Hi, how do you find the distance between the sun and earth

how do you find the distance between the sun and earth

Find the largest possible positive integer, Find the largest possible posit...

Find the largest possible positive integer that will divide 398, 436, and 542 leaving remainder 7, 11, 15 respectively. (Ans: 17) Ans: The required number is the HCF of the n

Trignomentry, 128sinpower8=cos8-8cos6+28cos4-56cos2+35

128sinpower8=cos8-8cos6+28cos4-56cos2+35

Bottleneck for each product, A company makes 2 products, Product A and Prod...

A company makes 2 products, Product A and Product B. The product characteristics are shown in the following table. Product A B

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