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Simplifying (8) * 8 + (15) * 15 = (s) * s Multiply 8 * 8 64 + (15) * 15 = (s) * s Multiply 15 * 15 64 + 225 = (s) * s Combine like terms: 64 + 225 = 289 289 = (s) * s Multiply s * s 289 = s2 Solving 289 = s2 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1s2' to each side of the equation. 289 + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 289 + -1s2 = 0 Add '-289' to each side of the equation. 289 + -289 + -1s2 = 0 + -289 Combine like terms: 289 + -289 = 0 0 + -1s2 = 0 + -289 -1s2 = 0 + -289 Combine like terms: 0 + -289 = -289 -1s2 = -289 Divide each side by '-1'. s2 = 289 Simplifying s2 = 289 Take the square root of each side: s = {-17, 17}
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