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

Vectors, |a.x|=1 where x = i-2j+2k then calculate a

|a.x|=1 where x = i-2j+2k then calculate a

How much did sally earn if she worked 48 hours, Sally gets paid x dollars p...

Sally gets paid x dollars per hour for a 40-hour work week and y dollars for every hour she works over 40 hours. How much did Sally earn if she worked 48 hours? Since she worke

#titleBUsiness calculus.., If $2,000 is invested in a savings account offer...

If $2,000 is invested in a savings account offering interest at a rate of 3.5% per year, compounded continuously, how fast is the balance growing after 8 years? (Round your answer

How does a child think-knowing your maths learner, HOW DOES A CHILD THINK? ...

HOW DOES A CHILD THINK? :  You must have interacted with children of various ages. From your experience, do you feel that children start learning, from a very early age, and conti

Geometry, triangular with base AB = 48cm and height CH=16cm is inscribed a ...

triangular with base AB = 48cm and height CH=16cm is inscribed a rectangle MNPQ in which MN: MQ = 9:5 Find MN and MQ

Ratio, which ratio is largar. 1. 15:16 or 24:25

which ratio is largar. 1. 15:16 or 24:25

Riddles, I am a number yell my identity subtract 20 from me and add 30 make...

I am a number yell my identity subtract 20 from me and add 30 make the total twice to reach century you still need eight

Example of identify the pre-requisites, Ravi is a teacher of Class 4 in a m...

Ravi is a teacher of Class 4 in a municipal school in Delhi. When the new school year started, he opened the textbook and started teaching the children how to write 4-digit numbers

Objectives of ones tens and more, Objectives After studying this unit, ...

Objectives After studying this unit, you should be able to 1.  evolve and use alternative activities to clarify the learner's conceptual 2.  understanding of ones/tens/hu

BIOMATH, Ask quHarvesting prevents the population size of a species from at...

Ask quHarvesting prevents the population size of a species from attaining its natural carrying capacity. We can add harvesting to the logistic model by assuming that the per capita

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