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13_pdfsam_2 - To solve complete the square in s s b 2a 2 b...

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To solve, “complete the square” in s s + b 2 a 2 b 2 a 2 + c a = 0 Rewrite to leave only the term involving s on the left hand side s + b 2 a 2 = 1 2 a 2 b 2 4 ac Take the square root of each side to find the solutions s 1 , 2 = b 2 a ± 1 2 a b 2 4 ac There are two solutions, so it is necessary to rewrite the equation in a different form to develop the Matlab commands. x = b 2 a y = b 2 4 ac 2 a s 1 = x + y s 2 = x y Matlab session: >> a=2; >> b=10;
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