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

Numerical analysis, just give me some tips to submit a good asignments

just give me some tips to submit a good asignments

Ratio, There are only Chinese and Malay pupils in a hall.The ratio of the n...

There are only Chinese and Malay pupils in a hall.The ratio of the number of boys to the number of girls is 2:3.The ratio of the number of Chinese boys to the number of Malay boys

How many handles must be molded weekly to break even, Northwest Molded mold...

Northwest Molded molds plastic handles which cost $0.70 per handle to mold. The fixed cost to run the molding machine is $5799 per week. If the company sells the handles for $ 3.70

Positive exponents, Simplify following and write the answers with only posi...

Simplify following and write the answers with only positive exponents.   (-10 z 2 y -4 ) 2 ( z 3 y ) -5 Solution    (-10 z 2 y -4 ) 2 ( z 3 y ) -5

Distribution of sample distribution or sampling means , Distribution of Sam...

Distribution of Sample distribution or Sampling means A sample of size n is taken from the parent population and mean of the sample is estimated. It is repeated for a number o

Trigonometry, how to change sin 24 degree in digits?

how to change sin 24 degree in digits?

Design a diagram by transformation, On a graph, design a diagram by transfo...

On a graph, design a diagram by transformation the given graph of f (x), -2 ≤ x ≤ 2. Briefly Define the other graphs in terms of f (x) and specify their domains. The diagram n

Find the determinant and inverse matrix, Find the Determinant and Inverse M...

Find the Determinant and Inverse Matrix (a) Find the determinant for A by calculating the elementary products. (b) Find the determinant for A by reducing the matrix to u

Derive a boolean first-order query, Consider a database whose universe is a...

Consider a database whose universe is a finite set of vertices V and whose unique relation .E is binary and encodes the edges of an undirected (resp., directed) graph G: (V, E). Ea

Circle, prove the the centre of a circle is twice of reference angle

prove the the centre of a circle is twice of reference angle

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