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Simplifying 7 * 7 + 4 * 4 = c * c Multiply 7 * 7 49 + 4 * 4 = c * c Multiply 4 * 4 49 + 16 = c * c Combine like terms: 49 + 16 = 65 65 = c * c Multiply c * c 65 = c2 Solving 65 = c2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c2' to each side of the equation. 65 + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 65 + -1c2 = 0 Add '-65' to each side of the equation. 65 + -65 + -1c2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -1c2 = 0 + -65 -1c2 = 0 + -65 Combine like terms: 0 + -65 = -65 -1c2 = -65 Divide each side by '-1'. c2 = 65 Simplifying c2 = 65 Take the square root of each side: c = {-8.062257748, 8.062257748}
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