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

What are factors, What are Factors? When you multiply several numbers t...

What are Factors? When you multiply several numbers together, (4 x 5 x 3), the numbers (4, 5, and 3) being multiplied are called factors. The result of the multiplying th

Add subtract fractions., how do you add and subtract mixed numbers with fra...

how do you add and subtract mixed numbers with fractions

Utilizes the denominator for our substitution, Evaluate given integrals. ...

Evaluate given integrals.                ∫3/(5 y + 4)   dy Solution Let's notice as well that if we take the denominator & differentiate it we get only a constant and th

Differential equation, Find the normalized differential equation which has ...

Find the normalized differential equation which has {x, xe^x} as its fundamental set

Integration, how to learn integration?easier

how to learn integration?easier

Triple integral transformed, An elliptical galaxy has gravitational boundar...

An elliptical galaxy has gravitational boundaries defiend by 9x 2 +16y 2 +144z 2 =144. A black hole at the center of the galaxy is interacting with dark matter producing a radiatio

Cylinder, if the diametre of the cylinder is 3.6 foot and its length is4.6f...

if the diametre of the cylinder is 3.6 foot and its length is4.6foot,then its dimension is?

Derivative and differentiation, Derivative and Differentiation The pro...

Derivative and Differentiation The process of acquiring the derivative of a function or slope or gradient is referred to as differentiation or derivation. The derivative is de

How long will it take him to plow 21 acres, Mr. Brown plowed 6 acres in 1 h...

Mr. Brown plowed 6 acres in 1 hour. At this rate, how long will it take him to plow 21 acres? Mr. Brown plows 6 acres an hour, so divide the number of acres (21) through 6 to f

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