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

Derivatives with chain rule, Chain Rule : We've seen many derivatives...

Chain Rule : We've seen many derivatives.  However, they have all been functions similar to the following kinds of functions. R ( z ) = √z      f (t ) = t 50

Compound interest, principal=2000 rate=5% time=2 years find compound intere...

principal=2000 rate=5% time=2 years find compound interest

Linear programming , use the simplex method to solve the following lp probl...

use the simplex method to solve the following lp problem. max z = 107x1 + x2 + 2x3 subject to 14x1 + x2 - 6x3 + 3x4 = 7 16x1 + x2 - 6x3 3x1 - x2 - x3 x1,x2,x3,x4 > = 0

Hello, dans chaque cas recris l expression sous la forme d un rappot reduit...

dans chaque cas recris l expression sous la forme d un rappot reduit 5kg/600g

Fractions, what the answer to 1/4+1/3=3/12=?

what the answer to 1/4+1/3=3/12=?

Volumes of solids of revolution -method of cylinders, Volumes of Solids of ...

Volumes of Solids of Revolution / Method of Cylinders In the previous section we started looking at determine volumes of solids of revolution.  In this section we took cross se

matlab, how to solve simplex method using matlab

how to solve simplex method using matlab?

Integration, Integrate ((cosx)*(sinx))/(sin(2x)) with respect to x

Integrate ((cosx)*(sinx))/(sin(2x)) with respect to x

Law of Sine and Cosine Word Problems, A poll tilts towards the sun at an 8 ...

A poll tilts towards the sun at an 8 o angle from the vertical at it casta 22-ft shadow. The angle of elevation from the shadow to the top of the pole is 43 o . How tall is th

Slope-intercept form, Slope-intercept form The ultimate special form of...

Slope-intercept form The ultimate special form of the equation of the line is possibly the one that most people are familiar with.  It is the slope-intercept form.  In this if

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