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Simplifying ((a)(a)) + ((17)(17)) = ((20)(20)) Multiply a * a (a2) + ((17)(17)) = ((20)(20)) a2 + ((17)(17)) = ((20)(20)) Multiply 17 * 17 a2 + (289) = ((20)(20)) a2 + 289 = ((20)(20)) Reorder the terms: 289 + a2 = ((20)(20)) Multiply 20 * 20 289 + a2 = (400) 289 + a2 = 400 Solving 289 + a2 = 400 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-289' to each side of the equation. 289 + -289 + a2 = 400 + -289 Combine like terms: 289 + -289 = 0 0 + a2 = 400 + -289 a2 = 400 + -289 Combine like terms: 400 + -289 = 111 a2 = 111 Simplifying a2 = 111 Take the square root of each side: a = {-10.535653753, 10.535653753}
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