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CBSE Class 10 Answered

Find four numbers In ap whose sum is 20 and the sum of whose square is 120
Asked by 123654789pm | 08 Feb, 2018, 10:17: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space four space numbers space be space left parenthesis straight a minus 3 straight d right parenthesis comma space left parenthesis straight a minus straight d right parenthesis comma space left parenthesis straight a plus straight d right parenthesis space and space left parenthesis straight a plus 3 straight d right parenthesis.
Sum equals 20
rightwards double arrow space left parenthesis straight a minus 3 straight d right parenthesis plus space left parenthesis straight a minus straight d right parenthesis plus space left parenthesis straight a plus straight d right parenthesis plus left parenthesis straight a plus 3 straight d right parenthesis equals 20
rightwards double arrow straight a equals 5
And comma space sum space of space squares equals 120
rightwards double arrow left parenthesis straight a minus 3 straight d right parenthesis squared plus left parenthesis straight a minus straight d right parenthesis squared plus left parenthesis straight a plus straight d right parenthesis squared plus left parenthesis straight a plus 3 straight d right parenthesis squared equals 120
rightwards double arrow straight d equals plus-or-minus 1 end style
Answered by Rashmi Khot | 09 Feb, 2018, 09:53: AM
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