![a + b = \sqrt{7} \: and \: a - b = \sqrt{3} \\ proof \: ab( {a}^{2} + {b}^{2} ) = 5 a + b = \sqrt{7} \: and \: a - b = \sqrt{3} \\ proof \: ab( {a}^{2} + {b}^{2} ) = 5](https://tex.z-dn.net/?f=a+%2B+b+%3D++%5Csqrt%7B7%7D++%5C%3A+and+%5C%3A+a+-+b+%3D++%5Csqrt%7B3%7D+++%5C%5C+proof+%5C%3A+ab%28+%7Ba%7D%5E%7B2%7D++%2B++%7Bb%7D%5E%7B2%7D+%29+%3D+5)
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