solve the following equation by factorization:-

1. a2b2x2 +b2x-a2x-1=0

2. x2-x-a(a+1)=0

3. 7x+3/x=178/5

4. x2-42x+6=0

Asked by Mj | 30th Nov, 2014, 06:38: PM

Expert Answer:

1. space a squared b squared x squared plus b squared x minus a squared x minus 1 equals 0 rightwards double arrow b squared x open parentheses a squared x plus 1 close parentheses minus open parentheses a squared x plus 1 close parentheses equals 0 rightwards double arrow open parentheses b squared x minus 1 close parentheses open parentheses a squared x plus 1 close parentheses equals 0 rightwards double arrow b squared x minus 1 equals 0 space o r space a squared x plus 1 equals 0 rightwards double arrow b squared x equals 1 space o r space a squared x equals minus 1 rightwards double arrow x equals 1 over b squared space o r space x equals fraction numerator minus 1 over denominator a squared end fraction 2. x squared minus x minus a open parentheses a plus 1 close parentheses equals 0 rightwards double arrow x squared minus x minus a squared minus a equals 0 rightwards double arrow x squared plus a x minus a x minus x minus a squared minus a equals 0 rightwards double arrow x squared plus a x minus x minus a minus a x minus a squared equals 0 rightwards double arrow x open parentheses x plus a close parentheses minus 1 open parentheses x plus a close parentheses minus a open parentheses x plus a close parentheses equals 0 rightwards double arrow open parentheses x minus 1 minus a close parentheses open parentheses x plus a close parentheses equals 0 rightwards double arrow x minus 1 minus a equals 0 space o r space x plus a equals 0 rightwards double arrow x equals 1 plus a equals 0 space o r space x equals minus a 3. 7 x plus 3 over x equals 178 over 5 rightwards double arrow fraction numerator 7 x squared plus 3 over denominator x end fraction equals 178 over 5 rightwards double arrow 5 open parentheses 7 x squared plus 3 close parentheses equals 178 x rightwards double arrow 35 x squared plus 15 equals 178 x rightwards double arrow 35 x squared minus 178 x plus 15 equals 0 rightwards double arrow 35 x squared minus 175 x minus 3 x plus 15 equals 0 rightwards double arrow 35 x open parentheses x minus 5 close parentheses minus 3 open parentheses x minus 5 close parentheses equals 0 rightwards double arrow open parentheses 35 x minus 3 close parentheses open parentheses x minus 5 close parentheses equals 0 rightwards double arrow 35 x minus 3 equals 0 space o r space x equals 5 rightwards double arrow 35 x equals 3 space o r space x equals 5 rightwards double arrow x equals 3 over 35 space o r space x equals 5

Answered by Vimala Ramamurthy | 30th Nov, 2014, 07:25: PM