UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 10 Tuition from the Best Tutors

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

Book a Free Demo

> > If the roots ff the equation (c2 -- ab)x2 -- 2(a2...
✕

Search in

If the roots ff the equation (c2 – ab)x2 – 2(a2 – bc)x + b2 – ac = 0 are equal, then prove that either a = 0 or a3 + b3 + c3 = 3abc "

Asked by Last Modified  

1 Answer

+1

Follow 2
Answer

Please enter your answer

A TEACHER AS FRIEND

Given equation is: (c 2 – ab) x 2 – 2 (a 2 – bc) x + (b 2 – ac) = 0 To prove: a = 0 or a 3 + b 3 + c 3 = 3abc Proof: From the given equation, we have a = (c2 – ab) b = –2 (a 2 – bc) c = (b 2 – ac) It is being given that equation has real and equal roots ∴...
read more
Given equation is: (c2–ab)x2– 2 (a2–bc)x+ (b2–ac) = 0 To prove: a= 0 ora3+b3+c3= 3abc Proof: From the given equation, we have a= (c2–ab) b= –2 (a2–bc) c= (b2–ac) It is being given that equation has real and equal roots ∴D= 0 ⇒b2– 4ac= 0 On substituting respective values ofa,bandcin above equation, we get [–2 (a2–bc)]2– 4 (c2–ab) (b2–ac) = 0 4 (a2–bc)2– 4 (c2b2–ac3–ab3+a2bc) = 0 4 (a4+b2c2– 2a2bc) – 4 (c2b2–ac3–ab3+a2bc) = 0 ⇒a4+b2c2– 2a2bc–b2c2+ac3+ab3–a2bc= 0 ⇒a4+ab3+ac3–3a2bc= 0 ⇒a[a3+b3+c3– 3abc] = 0 ⇒a= 0 ora3+b3+c3= 3abc read less
Comments
Dislike Bookmark

Related Questions

What is the full form of VAT?
Value Added Tax:- VAT is local sales tax. It is levied and collected under state laws. VAT has replaced the earlier sales tax system.
Baby
How hard is basic algebra?
It is very easy to learn, but you should know the formulas ,rules & theorms.
Shaun
0 0
7
Is the tuition necessary in class 9?
Offcourse It's a guideline in your study
Parna
0 0
7
What is the difference between primary and secondary data?
Primary data is taken by survey like poll, questionnaire etc. like if a company wants to know its popularity on a scale of 10, then it asks to rate itself by a randomly selected 10 K people. if you use...
Raindial
What should be a suitable timetable for a student of class 10?
Give regular hous on a daily basis to maths and science. For rest of the subjects schedule alternate days , particular hours for each subject.
Sarath Chandra
0 0
5

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Ashish Bhatia

0 0
0
Mathematics Formula Sheet and Materials For Students

Parijat Bhattacharyya

0 0
0
Class-10-Quadratic Equations-Q1-PYqs-2023

Ashish Bhatia

0 0
0
Class - X Subject- Mathematics Chapter-Introduction to Trigonometry Assignment
If sinα =3/2, find the value of all T- ratios of α If cosα =7/25, find the value of all T-ratios of α If tanα =15/8, find the values of all T-ratios of α If cotα...

Rahul S

0 0
0
Maths_Exponents and Power
Exponential Form = 100 = 102, where 2 is the power of 10. Laws of exponents: a-m = 1/ am a m * an = am*n am * an = am*n (am)n = am*n am / bm = (a/b)m a0= 1 (a / b)-m = (b/a)m (-1)odd = -1 (-1)even = 1 ( am / an ) = am-n
A

Amrtha S.

1 0
0

Recommended Articles

Find Class 10 Tuition near you
Class 10 Tuition in Delhi
Class 10 Tuition in Bangalore
Class 10 Tuition in Hyderabad
Class 10 Tuition in Kolkata
Class 10 Tuition in Mumbai
Class 10 Tuition in Chennai
Class 10 Tuition in Pune
Class 10 Tuition in Noida
Class 10 Tuition in Lucknow
Class 10 Tuition in Jaipur
Online Tuition Class 10

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 10 Tuition Classes?

The best tutors for Class 10 Tuition Classes are on UrbanPro

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

Take Class 10 Tuition with the Best Tutors

The best Tutors for Class 10 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

ThinkVidya Learning Pvt Ltd © 2010-2025 All Rights Reserved