solve for A a*A= -Ea + a^(-1) b x*A= -E - a^(-2) b Solution SOLUTION:- GIVEN THA
ID: 2942958 • Letter: S
Question
solve for A
a*A= -Ea + a^(-1) b
x*A= -E - a^(-2) b
Explanation / Answer
SOLUTION:- GIVEN THAT: a * A = - E a + a-1 . b ..............................(1) AND X * A = - E - a-2 . b ................................(2) ----------------------------------------------------------------------------------------------------------------- NOW OPERATING ( a-1 ) ON BOTH SIDES OF EQUATION (1) WE HAVE, =>a-1 * ( a * A ) = a-1 * ( - E a ) + a-1 * ( a-1.b) =>( a-1 * a ) * A = - E ( a-1 * a ) + ( a-1 * a-1) .b , treating "E" as a constant. => 1 * A = - E ( 1) + a-2 . b => 1 * A = - E + a-2 . b .............................(3) -------------------------------------------------------------------------------------------------------------------- RELATION (3) => 1 * A = - E + a-2 . b , AND RELATION (2) => X * A = - E - a-2 . b ----------------------------------------------------------------------------------------------------------------- NOW ADDING THE ABOVE TWO RELATIONS , LAST TERMS GET CANCELLED AND WE HAVE , 1 * A + X * A = - 2 E ( 1 + X ) * A = - 2E ................................(4) -------------------------------------------------------------------------------------------------------------------- NOW OPERATING (1 +X )-1 , ON BOTH SIDES OF RELATION (4) WE HAVE, (1 +X )-1 * { ( 1 + X ) * A } = (1 +X )-1 { - 2E } { (1 +X )-1 * ( 1 + X ) } * A = - 2E / ( 1 +X ) => A = - 2E / ( 1 +X ) => A = - E / [ ( 1+X)/2]
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