Factorise: x to the power of 2 space end exponent minus space 264 over 24 x space plus space 17255 over 24 squared space equals space 0
How will we split the middle term negative 264 over 24 x ?
 

Asked by pankaj.sharma12378 | 11th Oct, 2015, 08:28: PM

Expert Answer:

C o n s i d e r space t h e space e x p r e s s i o n colon x squared minus fraction numerator 264 x over denominator 24 end fraction plus 17255 over 24 squared equals 0 D i v i d e space t h e space t e r m comma space minus fraction numerator 264 x over denominator 24 end fraction space b y space 2 comma space w e space h a v e comma rightwards double arrow x squared minus 2 cross times fraction numerator 264 x over denominator 2 cross times 24 end fraction plus open parentheses fraction numerator 264 over denominator 2 cross times 24 end fraction close parentheses squared minus open parentheses fraction numerator 264 over denominator 2 cross times 24 end fraction close parentheses squared plus 17255 over 24 squared equals 0 rightwards double arrow x squared minus 2 cross times fraction numerator 264 x over denominator 2 cross times 24 end fraction plus open parentheses 264 over 48 close parentheses squared minus open parentheses 264 over 48 close parentheses squared plus 17255 over 24 squared equals 0 rightwards double arrow x squared minus 2 cross times fraction numerator 264 x over denominator 2 cross times 24 end fraction plus open parentheses 264 over 48 close parentheses squared equals open parentheses 264 over 48 close parentheses squared minus 17255 over 24 squared rightwards double arrow open parentheses x minus 264 over 48 close parentheses squared equals open parentheses 264 over 48 close parentheses squared minus 17255 over 24 squared rightwards double arrow open parentheses x minus 264 over 48 close parentheses squared equals open parentheses 264 over 48 close parentheses squared minus fraction numerator 4 cross times 17255 over denominator 4 cross times 24 squared end fraction rightwards double arrow open parentheses x minus 264 over 48 close parentheses squared equals open parentheses 264 over 48 close parentheses squared minus fraction numerator 4 cross times 17255 over denominator 48 squared end fraction rightwards double arrow open parentheses x minus 264 over 48 close parentheses squared equals fraction numerator 264 squared minus 4 cross times 17255 over denominator 48 squared end fraction rightwards double arrow open parentheses x minus 264 over 48 close parentheses squared equals fraction numerator 69696 minus 69020 over denominator 48 squared end fraction rightwards double arrow open parentheses x minus 264 over 48 close parentheses squared equals 676 over 48 squared rightwards double arrow open parentheses x minus 264 over 48 close parentheses squared equals 26 squared over 48 squared rightwards double arrow open parentheses x minus 264 over 48 close parentheses squared equals open parentheses 26 over 48 close parentheses squared rightwards double arrow x minus 264 over 48 equals plus-or-minus 26 over 48 rightwards double arrow open parentheses x minus 264 over 48 minus 26 over 48 close parentheses open parentheses x minus 264 over 48 plus 26 over 48 close parentheses equals 0

Answered by Vimala Ramamurthy | 12th Oct, 2015, 10:28: AM