4x2-2(a2-b2)x+a2b2=0.solve eqn by completing square method. 

 

Asked by mayankgoransh0564 | 13th Jun, 2019, 09:14: PM

Expert Answer:

The question should be like 

4x2-2(a2+b2)x+a2b2=0.solve eqn by completing square method. 

 

4x2 - 2(a2 + b2)x + a2b2 = 0
4[x2 - (a2 + b2)x/2 + a2b2/4] = 0
begin mathsize 16px style 4 open square brackets straight x squared minus fraction numerator straight a squared plus straight b squared over denominator 2 end fraction straight x plus open parentheses fraction numerator straight a squared plus straight b squared over denominator 4 end fraction close parentheses squared plus fraction numerator straight a squared straight b squared over denominator 4 end fraction minus open parentheses fraction numerator straight a squared plus straight b squared over denominator 4 end fraction close parentheses squared close square brackets equals 0
4 open square brackets open parentheses straight x minus fraction numerator straight a squared plus straight b squared over denominator 4 end fraction close parentheses squared minus open parentheses fraction numerator straight a squared minus straight b squared over denominator 4 end fraction close parentheses squared close square brackets equals 0
open parentheses straight x minus fraction numerator straight a squared plus straight b squared over denominator 4 end fraction close parentheses squared minus open parentheses fraction numerator straight a squared minus straight b squared over denominator 4 end fraction close parentheses squared equals 0
open parentheses straight x minus fraction numerator straight a squared plus straight b squared over denominator 4 end fraction close parentheses squared equals open parentheses fraction numerator straight a squared minus straight b squared over denominator 4 end fraction close parentheses squared
straight x minus fraction numerator straight a squared plus straight b squared over denominator 4 end fraction equals plus-or-minus fraction numerator straight a squared minus straight b squared over denominator 4 end fraction
straight x equals plus-or-minus fraction numerator straight a squared minus straight b squared over denominator 4 end fraction plus fraction numerator straight a squared plus straight b squared over denominator 4 end fraction
straight x equals straight a squared over 2 space or space straight b squared over 2 end style

Answered by Sneha shidid | 14th Jun, 2019, 09:52: AM