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CBSE Class 9 Answered

show that if a+b is not zero, then the equation a(x-a)=2ab-b(x-b) has a solution x = a+b
 
PLEASE ANSWER IN FULL STEPS.
Asked by harshmandlik | 07 Sep, 2014, 11:09: AM
answered-by-expert Expert Answer
C o n s i d e r space t h e space g i v e n space e q u a t i o n : a open parentheses x minus a close parentheses equals 2 a b minus b open parentheses x minus b close parentheses rightwards double arrow a x minus a squared equals 2 a b minus b x plus b squared rightwards double arrow a x plus b x equals a squared plus 2 a b plus b squared rightwards double arrow open parentheses a plus b close parentheses x equals open parentheses a plus b close parentheses squared rightwards double arrow fraction numerator open parentheses a plus b close parentheses x over denominator open parentheses a plus b close parentheses end fraction equals fraction numerator open parentheses a plus b close parentheses squared over denominator open parentheses a plus b close parentheses end fraction rightwards double arrow x equals open parentheses a plus b close parentheses space space space space space space open square brackets sin c e space open parentheses a plus b close parentheses space not equal to 0 close square brackets
Answered by Vimala Ramamurthy | 08 Sep, 2014, 08:39: AM

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