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Step-by-step explanation:
step 1. this is a polynomial division problem
x^2 + 11x + 52
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step 2. (x -3) [ x^3 + 8x^2 + 19x + 13
step 3. x^3 - 3x^2
step 4. 11x^2 + 19x + 13
step 5. 11x^2 - 33x
step 6. 52x + 13
step 7. 52x - 156
step 8. R -> 169
step 9. Ans: x^2 + 11x + 52 R 169
Answer: " m = zC / (C − z) " .
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Explanation:
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Given: 1/C + 1/m = 1/z ; Solve for "m".
Subtract "1/C" from each side of the equation:
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1/C + 1/m − 1/C = 1/z − 1/C ;
to get: 1/m = 1/z − 1/C ;
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Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
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mzC {1/m = 1/z − 1/C} ;
to get: zC = mC − mz ;
Factor out an "m" on the "right-hand side" of the equation:
zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;
zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24
zC/ (C − z) = m ; ↔ m = zC/ (C − z) .
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