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

Sets & relation.., the graph of relation y=f(x) respect to x=2 straight lin...

the graph of relation y=f(x) respect to x=2 straight line is symmetrical then which is correct; (option) a) f(x+2)=f(x_2),b)f(2+x)=f(2_x),c)f(x)=f(_x),d)f(x)=_f(_x)

What is the widest piece of sheetrock, A door height is 6 feet and 6 inches...

A door height is 6 feet and 6 inches and 36 inches wide. What is the widest piece of sheetrock that will ?t through the door? Round to the nearest inch. a. 114 in b. 86 in

Function of a function, Function of a Function Suppose ...

Function of a Function Suppose y is a function of z,            y = f(z) and z is a function of x,            z = g(x)

Finite population correction factor or fpcf), Finite Population Correction ...

Finite Population Correction Factor Or Fpcf) If a specified population is relatively of small size and sample size is more than 5 percent of the population then the standard er

Fractions, How do you add 7/9 + 6/8 + 3/4

How do you add 7/9 + 6/8 + 3/4

Find the polynomial zeros , If two zeros of the polynomial f(x) = x 4 - 6x...

If two zeros of the polynomial f(x) = x 4 - 6x 3 - 26x 2 + 138x - 35 are 2 ± √3.Find the other zeros.     (Ans:7, -5) Ans : Let the two zeros are 2 +√3 and 2 - √3 Sum of

Find the interval of validity, Solve the subsequent IVP and find the interv...

Solve the subsequent IVP and find the interval of validity for the solution. y' + (4/x) y = x 3 y 2 ,       y(2) = - 1,  x > 0 Solution Thus, the first thing that we re

What was joe's approximate raw act score, Using the same mean and standard ...

Using the same mean and standard deviation from problem 10 (mean m = 20.1 and a standard deviation s = 5.8). Joe was informed that he scored at the 68 th percentile on the ACT, wh

Example of learning constructing tables versus rote , Maya says thafl for i...

Maya says thafl for instance, to help the children of Class 2 construct the '5 times table', she uses their hands. Each child counts how many fingers on one hand, and then how ma

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