2nd and 3rd equation plz solve

Asked by lovemaan5500 | 12th Dec, 2017, 06:30: AM

Expert Answer:

begin mathsize 16px style Given space equation space colon space 12 open parentheses fraction numerator straight x plus 4 over denominator 4 straight x minus 1 end fraction close parentheses minus 29 square root of open parentheses fraction numerator straight x plus 4 over denominator 4 straight x minus 1 end fraction close parentheses end root plus 14 equals 0
Let space fraction numerator straight x plus 4 over denominator 4 straight x minus 1 end fraction equals straight a
rightwards double arrow square root of fraction numerator straight x plus 4 over denominator 4 straight x minus 1 end fraction end root equals square root of straight a
Then comma space equation space becomes
12 straight a minus 29 square root of straight a plus 14 equals 0
rightwards double arrow 12 straight a minus 21 square root of straight a minus 8 square root of straight a plus 14 equals 0
rightwards double arrow 3 square root of straight a open parentheses 4 square root of straight a minus 7 close parentheses minus 2 open parentheses 4 square root of straight a minus 7 close parentheses equals 0
rightwards double arrow open parentheses 4 square root of straight a minus 7 close parentheses open parentheses 3 square root of straight a minus 2 close parentheses equals 0
rightwards double arrow square root of straight a equals 7 over 4 space or space 2 over 3
rightwards double arrow straight a equals 49 over 16 space or space 4 over 9
When space straight a equals 49 over 16 rightwards double arrow fraction numerator straight x plus 4 over denominator 4 straight x minus 1 end fraction equals 49 over 16
rightwards double arrow 16 straight x plus 64 equals 196 straight x minus 49
rightwards double arrow 196 straight x minus 16 straight x equals 64 plus 49
rightwards double arrow 180 straight x equals 113
rightwards double arrow straight x equals 113 over 180

When space straight a equals 4 over 9 rightwards double arrow fraction numerator straight x plus 4 over denominator 4 straight x minus 1 end fraction equals 4 over 9 rightwards double arrow straight x equals 40 over 7 end style

Answered by Rashmi Khot | 12th Dec, 2017, 10:48: AM