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

Give a definition of perimeter and area, Give a Definition of Perimeter and...

Give a Definition of Perimeter and Area? Perimeter is the distance around a flat (2-dimensional) shape. Area is the amount of space taken up by a flat (2-dimensional) shape. is

Domain and range, Taxable income Tax rate 0 - $18,200 0% $18,201- $37,000 1...

Taxable income Tax rate 0 - $18,200 0% $18,201- $37,000 19% $37,001 - $80,000 32.5% $80,001- $180,000 37% $180,001 and over 45% if this is graphed as a step fuction graph whats t

PROBABILITY, Find the probability of drawing a diamond card in each of the ...

Find the probability of drawing a diamond card in each of the consecutive draws from a well shuffled pack of cards,if the card drawn is not replaced after the first draw.

Matrix, cramers rule introduction

cramers rule introduction

Determinant, The subsequent topic that we require to take a look at is the ...

The subsequent topic that we require to take a look at is the determinant of a matrix. The determinant is in fact a function that gets a square matrix and converts this in a number

What is the minimum number of students, Question 1: What is the minimum...

Question 1: What is the minimum number of students each of whom comes from one of the 50 different states, enrolled in a university to guarantee that there are at least 100 who

How to subtract fractions involving negative numbers, Q. How to Subtract fr...

Q. How to Subtract fractions involving negative numbers? Ans. This is the same as adding them, but just remember the rule that two negatives on the same fraction cancel ou

MATH, I don''t understand so what is 3 (8-x);24-15

I don''t understand so what is 3 (8-x);24-15

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