# An algebra problem by Priyanshu Mishra

**Algebra**Level 4

\[ \begin{cases} a+b=8 \\ ab+c+d=23\\ ad+bc=28 \\ cd=12 \end{cases} \]

Find the number of quadruplets of real numbers \((a,b,c,d)\) that satisfy the system of equations above.

\[ \begin{cases} a+b=8 \\ ab+c+d=23\\ ad+bc=28 \\ cd=12 \end{cases} \]

Find the number of quadruplets of real numbers \((a,b,c,d)\) that satisfy the system of equations above.

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