ICSE Class 10 Answered
if x=
, prove that:
![3 b x to the power of 2 space end exponent minus 2 a x plus 3 b equals 0](https://www.topperlearning.com/public/wiris/ckeditor4/plugins/ckeditor_wiris/integration/showimage.php?formula=16b644a799674804b00ba00e3b878d13)
Asked by fenny.gajjar | 06 Mar, 2019, 23:06: PM
![begin mathsize 12px style x space equals space fraction numerator square root of a plus 3 b end root space plus space square root of a space minus space 3 b end root over denominator square root of a plus 3 b end root space minus space square root of a space minus space 3 b end root end fraction
x space equals space fraction numerator square root of a plus 3 b end root space plus space square root of a space minus space 3 b end root over denominator square root of a plus 3 b end root space minus space square root of a space minus space 3 b end root end fraction space space cross times fraction numerator square root of a plus 3 b end root space plus space square root of a space minus space 3 b end root over denominator square root of a plus 3 b end root space plus space square root of a space minus space 3 b end root end fraction equals space fraction numerator a space plus 3 b space plus a space minus 3 b space plus 2 square root of a squared minus 9 b squared end root over denominator 6 b end fraction
x space equals space fraction numerator a plus square root of a squared minus 9 b squared end root over denominator 3 b end fraction space space space............. left parenthesis 1 right parenthesis
x squared space equals space open parentheses fraction numerator a plus square root of a squared minus 9 b squared end root over denominator 3 b end fraction close parentheses squared space equals space fraction numerator 1 over denominator 9 b squared end fraction open square brackets 2 a squared space minus 9 b squared space plus space 2 a square root of a squared minus 9 b squared end root close square brackets space space............. left parenthesis 2 right parenthesis
end style](https://images.topperlearning.com/topper/tinymce/cache/aa30715741092f742b5901440d8c9449.png)
by substituting x and x2 using eqn.(1) and eqn.(2) , we can prove, 3b x2 -2ax + 3b = 0
Answered by Thiyagarajan K | 07 Mar, 2019, 00:03: AM
Application Videos
Concept Videos
ICSE 10 - Maths
Asked by ag1106511 | 17 Jul, 2024, 00:41: AM
ICSE 10 - Maths
Asked by astonfern123 | 14 Jul, 2024, 20:01: PM
ICSE 10 - Maths
Asked by anjumnahida176 | 23 Jun, 2024, 15:29: PM
ICSE 10 - Maths
Asked by rupalipatange0 | 13 Jun, 2024, 20:36: PM
ICSE 10 - Maths
Asked by tanushreetanu46t | 12 Jun, 2024, 22:59: PM
ICSE 10 - Maths
Asked by varucreations16 | 12 Jun, 2024, 22:45: PM
ICSE 10 - Maths
Asked by varucreations16 | 09 Jun, 2024, 15:02: PM
ICSE 10 - Maths
Asked by rakesh_shukla2006 | 06 Jun, 2024, 12:55: PM
ICSE 10 - Maths
Asked by raghutangi04 | 30 May, 2024, 19:20: PM