Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

The quadratic equation, who's roots are reciprocal of the roots of the equation- ax^2+bx+c,is?

Asked by drhimasingh | 26 May, 2020, 11:31: PM
Expert Answer
Let alpha and beta be the roots of the quadratic equation ax2+bx+c=0
Using space the space relation space between space the space roots space and space coefficients comma space we space have
straight alpha plus straight beta equals negative straight b over straight a space and space αβ equals straight c over straight a
1 over straight alpha plus 1 over straight beta equals fraction numerator straight alpha plus straight beta over denominator αβ end fraction equals fraction numerator negative begin display style straight b over straight a end style over denominator begin display style straight c over straight a end style end fraction equals negative straight b over straight c
1 over straight alpha 1 over straight beta equals 1 over αβ equals fraction numerator 1 over denominator begin display style straight c over straight a end style end fraction equals straight a over straight c
The space required space quadratic space equation space is space straight x squared plus open parentheses 1 over straight alpha plus 1 over straight beta close parentheses straight x plus open parentheses 1 over straight alpha 1 over straight beta close parentheses equals 0
rightwards double arrow straight x squared minus straight b over straight c straight x plus straight a over straight c equals 0
rightwards double arrow cx squared minus bx plus straight a equals 0
Answered by Renu Varma | 27 May, 2020, 11:50: AM
CBSE 11-science - Maths
Asked by rajshekhara348 | 20 Jun, 2022, 11:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by sandeepkumarbhadauria41 | 15 Sep, 2021, 02:52: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Suchismitasingha18 | 07 Aug, 2021, 04:44: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by sohailsidmd002 | 11 Oct, 2020, 02:35: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by ssroul.tcbls | 02 Jul, 2020, 07:15: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by avinashjha3012 | 22 Jun, 2020, 05:41: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by drhimasingh | 26 May, 2020, 11:31: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by amanamit818 | 06 Oct, 2019, 11:03: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by aahnik.mohanty | 21 Jun, 2019, 09:00: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by aahnik.mohanty | 19 Jun, 2019, 09:05: PM
ANSWERED BY EXPERT

Start your hassle free Education Franchisee and grow your business!

Know more
×