UrbanPro
true

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Sample Problem On Quadratic Equation.

Tapas Kumar Maity
19/05/2017 0 0

If the roots  of the  equation   a(b-c) x^2+b(c-a)x+c(a-b)=0 are equal then prove that 1/a  +  1/c =  2 /b

Solution :

Since roots of the equation are equal, value of discrinant is zero. 

Which give  {b(c-a)} ^2 -  4a(b-c).c(a-b)=0

or,  b^2c^2 + b^2a^2 - 2ab^2c -  4a^2bc + 4ab^2c + 4a^2c^2 -  4abc^2 =0

or,  b^2c^2 +  b^2a^2 + 4a^2c^2 + 2ab^2c -  4a^2bc -  4abc^2 = 0

or,  ( bc + ab - 2ac) ^2 = 0

or,  bc + ab =2ac

Now dividing both sides by abc we get the result. 

 

 

 

 

 

 

0 Dislike
Follow 0

Please Enter a comment

Submit

Other Lessons for You

Ratio Analysis
Types of Ratios: Accounting ratio can be classified as Liquidity Ratio Solvency Ratio Activity or Turnover Ratio and Profitability Ratio Liquidity Ratios: It measures short term financial...

Electrostatis - Colomb's Laws - Numericals
Some important numericals on Colombs law are:- Q1- Two charges each of -2μC AND +6μC are seperated by a distance 1mm. find colombian force between them. Q2- Three charges each of q are placed...

Interest On Drawings II
Calculate interest on drawing of Vimal if the withdrew Rs.48000 in year withdrawn evenly: At beginning of each Quarter In the middle of each Quarter At end of each Quarter rate is 10% P. A. Solution: Case...

Internet of Things, Social Media Becoming Part of E-Discovery Landscape
The days when e-discovery consisted of handing over copies of e-mails to address Freedom of Information Act (FOIA) requests, compliance regulations or other legal obligations are over. Now, it's just as...

Vedic Mathematics for Multiplication of two 2-digited numbers
Vedic Mathematics is a very powerful tool for us to get quick calculations For Multiplication of two 2-digited numbers, we can follow FOIL technique. If you want to multiply 74×36(let's present...
N

Naimish K.

0 0
0
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more