[tex]fie \: a \: si \: b \: cele \: doua \: numere \\ a - b = 16 \\ \sqrt{a \times b} = 42 \\ [/tex]
[tex]a \times b = 1764 \\ a = b + 16 \\ = > {b}^{2} + 16b = 16 \\ {b}^{2} + 16b - 16 = 0 \\ \delta = 256 + 64 = 320 \\ b1 = \frac{ - 16 + 4 \sqrt{10} }{2} = \\ = - 8 + 2 \sqrt{10} \\ a1 = b1 + 16 = \\ = 2 \sqrt{10} + 8 \\ b2 = - 8 - 2 \sqrt{10} \\ a2 = - 2 \sqrt{10} + 8 [/tex]
S={(2√10+8;-8+2√10);(-2√10+8;-8-2√10)
